The ratio of present ages of two brothers is 1 : 2 and 5 years ago the ratio was 1: 3. What will be the ratio of their ages after 5 years?

1 : 4
2 : 3
3 : 5
5 : 6

Correct Answer: 3 : 5

Explanation:

Let us assume their present ages be x and 2x years; then
5 years ago ages of the brothers was x - 5 and 2x - 5 years.
According to question, 5 years ago the ratio was 1: 3
( x - 5)/(2x - 5) = 1/3
⇒ 3x-15 = 2x -5
∵ x = 10
Hence, their present ages 10 years and 20 years.
Ages after 5 years will be 10 +5 and 20 + 5 Years
Required ratio = 10+5/20 + 5 = 15/25 = 3/5 = 3 : 5

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