Question

(q)four years ago, shyam's age was 3/4 times of that of ram. four year hence, shyams age will be 5/6 times that of ram, what is the present age of shyam?

Answer 1

4 yr ago, let Ram's age = k yr and Shyam's age = 3k/4 yr  

Now, Ram's present age = (k + 4) yr  

and Shyam's present age = (3k/4 + 4) yr  

According to the question, 5/6(k + 4 + 4) = (3k/4 + 4 + 4)

⇒ 4 (5k + 40) = 6(3k + 32)

⇒ 20k + 160 = 18k + 192

⇒ 2k = 32

∴ k = 16

Hence, present age of Shyam = (3/4) x 16 + 4 = 16 yr