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John is 3/4 the age of James. Three years ago, John was 5/2 the age of James. How old is James?

 Jun 23, 2020
 #2
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Second half of your question should read "Three years ago, John was 5/7 (NOT 5/2) the age of James".

 

James's age today =J 

John's age today   =0.75J

 

[0.75J - 3] / [J - 3] = 5/7, solve for J

[0.75J - 3] =5/7J - 15/7

[0.75J - 5/7J = 3 - 15/7

[J / 28 ] = 6 / 7

J =[6 * 28] / 7

J = 24 years - James's age today.

 Jun 23, 2020
 #3
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Actually it is supposed to read 5/2 not 5/7

 Jun 24, 2020
 #4
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No, it is not. 5/2 will give you James's age:18 / 7 = 2.5714.....etc., which doesn't make sense!

Guest Jun 24, 2020

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