Himanshu is 55 years old and Rohan is 65 years old. How many years ago was the ratio of their ages 4

M4maths Previous Puzzles

05 Jan 2021 Age

Himanshu is 55 years old and Rohan is 65 years old. How many years ago was the ratio of their ages 4 : 6 ?

OPtion

1) 30 years
2) 32 years
3) 28 years
4) 35 years
5) 40 years
6) 22 years
7) 26 years
8) 38 years
9) 34 years
10) None of the above

Solution

Suppose the ratio was 4 : 6, x years ago.
Then,
(55 – x)/ (65 – x) = 4/6
6 (55 – x) = 4(65 – x)
330 – 6x = 260 – 4x
2x = 70
x = 70/2 = 35 years.

Correct Option: 4 Best Solution (2)