The ages of A and B are in the ratio 5 : 8, respectively. After 8 years, the ratio of their ages will be 3 : 4. What is the sum of their present ages?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e 26 years.
Let, the age of A be 5x and the age of B be 8x
Now, after 8 years, the ratio of their ages will be 3 : 4
According to the question
⇒ (5x + 8)/(8x + 8) = 3/4
⇒ 20x + 32 = 24x + 24
⇒ 4x = 8
⇒ x = 2
Hence,
The sum of the present age of A and B = (5x + 8x) = 13x = 13 × 2 = 26 years