Four years ago, Shyam's age was 3/4 times that of Ram. Four years hence, Shyam's age will be 5/6 times Ram's. What is their present age, Shyam?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 16 years
Four years ago, Shyam's age was 3/4 times that of Ram. Let's assume four years ago, the age of Ram was 4y.
four years ago, the age of Shyam =3/4 × 4y
= 3y
Four years hence, Shyam's age will be 5/6 times that of Ram.
Four years hence, the ratio between the ages of Shyam and Ram will be 5:6 respectively.
(3y + 4 + 4)/(4y + 4 + 4) = 5/6
(3y + 8)/(4y + 8) = 5/6
(3y + 8)/(2y + 4) = 5/3
9y + 24 = 10y + 20
10y - 9y = 24 - 20
y = 4
The present age of Shyam = 3y + 4
= 3 × 4 + 4
= 12 + 4
= 16