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# confused by a maths question?

8y, 3w agoPosted 8 years, 3 weeks ago
I'm helping my friend with her maths and the question is

"What two numbers add together to make 14, but when multiplied make 32?"

I can't for the life of me work it out, even by looking at the factors of 32 and adding everything possible to make 14...

Do you reckon it's a mistake and is meant nto say 33? (11 + 3 = 14) (11 x 3 = 33)
8y, 3w agoPosted 8 years, 3 weeks ago
Options

(38)
#1
I agree with you. 33 would be my answer too. Except I couldn't sleep due this playing on my mind and did further work on it below. See my next post.
#2
closest i got was 32.19 which would be 11.10 and 2.90 if i remember correctly
#3
What yimmie said, just because it says numbers dosent mean they have to whole numbers, think outside the box
#4
X_vampiress_X
What yimmie said, just because it says numbers dosent mean they have to whole numbers, think outside the box

:D

i'm sure it works you just have to be more precise with the decimal points. It's pretty easy if you aren't as tired as I am. :)
#5
tomm how old is this girl? loooool
#6
shes 16.
#7
t0mm
shes 16.

Well it's not likely to be based on whole numbers then. That's more for your 7 year old :lol:
#8
Shengis;3428853
Well it's not likely to be based on whole numbers then. That's more for your 7 year old :lol:

It's late - do you think I'm gonna go into fractions?:w00t:
#9
Well when I hit a problem like this I fire up an old 8bit emulator and write a basic prog to display all the possibilites :lol:

I curse microsoft for not including Qbasic in their product any more PMSL.
#10
one is x the other is y
#11
That first attempt was rubbish
Second attempt

x+y = 14 and x*y = 32

so

x = 14 - y

so (14-y)*y=32

14y -y^2 = 32

-y^2 +14y - 32 = 0

Using this maths website http://www.math.com/students/calculators/source/quadratic.htm Here's the result

2.8768943743823394

11.123105625617661
#12
id just tell her to bunk that lesson tbh
#13
banned#14
jasonrat

#15
-2+16=14
2x16=32
#16
sassie

ur a beast, ur not vorderman are u? :-D
banned#17
jasonrat
-2+16=14
2x16=32

-2 and 2 are not the same numbers ;-)
#18
same number but not same amount
banned#19
jasonrat
same number but not same amount

t0mm its 2am ide go with jasons - lol
#20
crd67
That first attempt was rubbish
Second attempt

x+y = 14 and x*y = 32

so

x = 14 - y

so (14-y)*y=32

14y -y^2 = 32

-y^2 +14y - 32 = 0

Using this maths website http://www.math.com/students/calculators/source/quadratic.htm Here's the result

2.8768943743823394

11.123105625617661

And of course knowing this will really set you up in later life. I lose count of the times I need to know this stuff every day :giggle::w00t::whistling:
#21
Shengis
And of course knowing this will really set you up in later life. I lose count of the times I need to know this stuff every day :giggle::w00t::whistling:

I've asked Santa for a life for Christmas as me doing that at gone two in the morning is really sad. :)
#22
i guess thats about right i forgot all about equations when i left school

i got x and y right though:whistling::p
#23
:lol:

I actually started an emulator on my xbox to try and work it out. Had to give up though as I couldn't find the + key :?
#24
Just a thought. Could it be a bases question. What subject areas has she been covering recently?
#25
Shengis
And of course knowing this will really set you up in later life. I lose count of the times I need to know this stuff every day :giggle::w00t::whistling:

Perhaps not when you're buying your shopping, but enter any sort of analytical field and yes, that sort of thing is very important.
#26
Worked the 2 numbers:
One number is 33/14
The 2nd is (32x14)/33
God, 34 and I still remember this!!! And im still scarred by 5 years of french!!!
#27
I Would Just Eat The Teacher!chomp!
#28
pghstochaj
Perhaps not when you're buying your shopping, but enter any sort of analytical field and yes, that sort of thing is very important.

Pretty useless to most people then. Unless you have a morbid fascination of such things (I do :lol:)

drdanielmacdonald
Worked the 2 numbers:
One number is 33/14
The 2nd is (32x14)/33
God, 34 and I still remember this!!! And im still scarred by 5 years of french!!!

Your first error was the introduction of the number 33.
banned#29
This thread is certainly better than all these game threads in misc today.
#30
I'll set a new problem, something that's been bugging me for ages.

Is it possible to convert a decimal aspect ratio (ie 1.33:1) to integer form without adding it to itself x amount of times? Looking for a quick lazy solution. For example, try converting 1.37:1 using the addition method and you'll see why I ask :lol:
#31
Maybe the answer requires imaginary numbers?
#32
Shengis
Pretty useless to most people then. Unless you have a morbid fascination of such things (I do :lol:)

.

Perhaps having the attitude that it is useless to most people is the reason why most people make it useless as a consequence. Personally it set me up for life.
#33
lumoruk;3429677
This thread is certainly better than all these game threads in misc today.

:-D:-D:-D
#34
jasonrat
-2+16=14
2x16=32

yehh but it would be -2 x 16 and that = -32
#35
a + b = 36
ab = 87

its a system of equations. to solve, find what one number is in terms of the other number. So, using the equation a + b = 36, you can solve for either number, i'll choose b.

36 - a = b

then you substitue 36 - a for the b in the 2nd equation.

(36 - a)a = 87

then solve.

36a - a^2 = 87
0 = a^2 -36a +87

i guess you have to use the quadratic formula because there is no 2 numbers that multiply to equal 87 and add to equal 36.

[36 +/- sq. root (1296- 4 x 87)]/2
36 +/- sq. root (948)
[36 +/- 2 times sq root (237)]/2
18 + sq. root (237) and 18 - sq. root (237) are the only answers.

this means that the two numbers are 18 - sq. root (237) which is 2.605 and 18 + sq. root (237) which is 33.395. those add to equal 36 and multiply to equal 87.
banned#36
black gerbil1
a + b = 36
ab = 87

its a system of equations. to solve, find what one number is in terms of the other number. So, using the equation a + b = 36, you can solve for either number, i'll choose b.

36 - a = b

then you substitue 36 - a for the b in the 2nd equation.

(36 - a)a = 87

then solve.

36a - a^2 = 87
0 = a^2 -36a +87

i guess you have to use the quadratic formula because there is no 2 numbers that multiply to equal 87 and add to equal 36.

[36 +/- sq. root (1296- 4 x 87)]/2
36 +/- sq. root (948)
[36 +/- 2 times sq root (237)]/2
18 + sq. root (237) and 18 - sq. root (237) are the only answers.

this means that the two numbers are 18 - sq. root (237) which is 2.605 and 18 + sq. root (237) which is 33.395. those add to equal 36 and multiply to equal 87.

[COLOR="RoyalBlue"]

I think its bang out of order the second person here copied your answer gerbil. They didnt even have the cheek to change a single word!

I'd sue 'em if I were you.[/COLOR]
#37
-2 and -16?
#38
black gerbil1
a + b = 36
ab = 87

its a system of equations. to solve, find what one number is in terms of the other number. So, using the equation a + b = 36, you can solve for either number, i'll choose b.

36 - a = b

then you substitue 36 - a for the b in the 2nd equation.

(36 - a)a = 87

then solve.

36a - a^2 = 87
0 = a^2 -36a +87

i guess you have to use the quadratic formula because there is no 2 numbers that multiply to equal 87 and add to equal 36.

[36 +/- sq. root (1296- 4 x 87)]/2
36 +/- sq. root (948)
[36 +/- 2 times sq root (237)]/2
18 + sq. root (237) and 18 - sq. root (237) are the only answers.

this means that the two numbers are 18 - sq. root (237) which is 2.605 and 18 + sq. root (237) which is 33.395. those add to equal 36 and multiply to equal 87.

BG1 - Who set this question? It doesn't related to this post nor any of the replies? It's thrown me as to why you've added it here.