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Question

The ages of Hari and Harry are in ratio 5:7. Four years from now the ratio of there ages will be 3:4. Find their present ages.

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Solution

Let ratio (common) be x

Hari's age: 5x, Harry's age 7x
and four years later: Ages will be 5x+4 and 7x+4
As per the question:

5x+47x+4=34
4(5x+4)=3(7x+4)

20x+16=21x+12
20x21x=1216

x=4
x=4

Hari's age =5x=5×4=20 years
Harry's age =7x=7×4=28 years

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