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Math brain teasers require computations to solve.

 

Puzzle ID:#286
Fun:*** (2.56)
Difficulty:** (1.37)
Category:Math
Submitted By:Mr. GAus*****
Corrected By:Gizzer

 

 

 



Five years ago, Anthony was three times as old as his sister. Now he is only twice as old. How old are Anthony and his sister?

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Comments

Sane**
Feb 14, 2005

Five years ago, Anthony was three times as old as his sister. Now he is only twice as old. How old are Anthony and his sister?

let a represent Anthony's age, then s represent the sister

First Statement:

a - 5 = (s - 5) * 3
a = (s - 5) * 3 + 5

Second Statement:

a = s * 2

Combination:

2s = (s - 5) * 3 + 5
2s = (s - 5) * 3 + 5
2s = 3s - 10
-s = -10
s = 10

Therefore, Anthony's age is 20 and his sister's is 10.
AtropusAnz**
Feb 15, 2005

Thanks Sane... I messed up my own figures for how to do that and ended up substituting in instead >.
Kebron*us*
Dec 06, 2005

I just thought it through in my head. I have seen one similar to this before.
sugarnspice4u7*us**
Jan 01, 2006

hummm... :?
warmonkey318Aus*
Mar 24, 2006

Ha ha..i guessed and got it right!
yoshinode*
Apr 23, 2006

I m not sure that this 1 would be in the math catergory... i don't no y, but I dont think this is the appropriate catergory for this teaser.
spazzyjazzy93Aus*
Jun 25, 2006

we did millions of these in my math class this year so i got it right away
nice teaser
yoshinode-i guess this could be in the logic category, but i think it belongs in the the category it's in
flowerz2010Apk*
Aug 24, 2006

That was on my eighth grade mat test, when we were supposed to use variables. So, I got it
precious1026Aus*
Apr 16, 2010

Everyone seems to have gotten the answer right, so what is the Correction?
I would get only partial credit. Too eager to find the answer.



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