Question

Four years back Sham's age was 3/4th of Ram's age that
time. Four years from now, Sham's age would be 5/6th of
Ram's age that time. What is Sham's age today?​

Answer 1

Answer:

=16 yrs

Explanation:

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