Arithmetic Aptitudes › Problems on Ages › Question #4426
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QIf one year ago, the ratio of Harry and Peter's ages was 5:6, and after 4 years, the ratio becomes 6:7, how old is Peter?

ID: #4426 Problems on Ages 357 views
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#4426Q ID
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Problems on AgesTopic
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  • A 25 years ✔ ✖
  • B 21 years ✔ ✖
  • C 31 years ✔ ✖
  • D 35 years ✔ ✖
Correct Answer

Explanation

 "If the ages of two individuals are given in the ratio A:B,
 then the ages can be represented as Ax and Bx.

 In this case,
 we are given that the age ratio of Harry and Peter is 5:6,
 meaning Harry's age is 5x and Peter's age is 6x.

One year ago, their ages were 5x and 6x, respectively, 
so their present ages are 5x+1 and 6x+1. 

After 4 years, Harry's age will be (5x+1)+4=(5x+5) and Peter's age will be (6x+1)+4=(6x+5). 

If the ratio of their ages after 4 years is given as 6:7,
 we can set up the equation (5x+5):(6x+5)=6:7. 

Solving this equation gives us x=5,
 meaning Peter's present age is 6x+1=(6x5)+1=31 years 
and Harry's present age is 5x+1=(5x5)+1=26 years.

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