-
Four years ago, shyam's age was 3/4 times of that of Ram. Four year hence, Shyam's age will be 5/6 times that of Ram. What is the present age of Shyam ?
-
- 15 yr
- 20 yr
- 16 yr
- 24 yr
- 8 yr
Correct Option: C
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
