Question : The ratio of the ages of Ram and Shyam 15 years ago was 2 : 5. The ratio of their present ages is 5 : 8. What will be the present age of Shyam (in years)?
Option 1: 10
Option 2: 15
Option 3: 25
Option 4: 40
Correct Answer: 40
Solution :
Given: Ratio of the ages of Ram and Shyam (15 years ago) = 2 : 5
The ratio of ages of Ram and Shyam (present) = 5 : 8
Let the ages of Ram and Shyam be
So,
⇒
⇒
15 years ago, the ratio was 2 : 5
⇒
⇒ 5
⇒ 5
By putting the value of
⇒ 5 ×
⇒ 9
⇒
Hence, the correct answer is 40 years.