Question

the ages of hari and harry are in the ratio 5:7. four years later from now the ratio of their ages are 3:4 . find their present age.

Answer 1

Let their current ages be 5x and 7x
Ages 4 years hence=5x+4 and 7x+4.
Given:
$\frac{5x+4}{7x+4}= \frac{3}{4}$
⇒$4(5x+4)=3(7x+4)$
⇒$20x+16=21x+12$
⇒$16-12=21x-20x$
⇒$4=x$
⇒Hari's present age=5*4=20 and Harry's present age=7*4=28.(years)
Ans:Hari's present age=20 and Harry's present age=28.(years)
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