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One year ago, ratio of harry and peter age was 5 : 6 respectively. after 4 years, this ratio becomes 6 : 7. how old is peter.

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1 Answer

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Let ages of harry and peter be a yrs and  b yrs respectively.

1 yr ago it had been :  

harry = a-1 yrs
peter = b-1

Ratio = a-1/b-1 = 5/6 

⇒ 6a - 6 = 5b - 5 

⇒ 6a - 5b = 1 ............(1)

after 4 yrs it would have been : 

harry = a+4
peter = b+4

ratio = a+4/b+4 = 6/7

⇒ 7a + 28 = 6b + 24

⇒ 6b - 7a = 4   ....(2)

solving (1) and (2)

a= 26   b = 31

Harry present age's 26 yrs

Peter present age 's 31 years

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