The ratio of the ages of two friends is 4 : 3 which will become 6 : 5 after 4 years. What will be the sum of their ages (in years) after 22 years from now?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 58.
Let the present ages of the two friends be 4x and 3x.
So, (4x + 4)/(3x + 4) = 6/5
⇒ 20x + 20 = 18x + 24
⇒ 2x = 4
⇒x = 2
The present ages are 4x = 4 × 2 = 8 years and 3x = 3 × 2 = 6 years
After 22 years, their ages will be 8 + 22 = 30 years and 6 + 22 = 28 years.
Total sum = 30 + 28 = 58 years
Therefore, the sum of their ages after 22 years will be 58 years.