The ratio of two number A and B is 5 : 8. If 5 is added to each of A and B, then the ratio of A and B becomes 2 : 3. The sum of A and B is :
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 65
Let the two numbers be 5x and 8x respectively
When 5 is added to each number,
⇒ (5x + 5)/(8x + 5) = 2/3
⇒ (15x + 15) = (16x + 10)
⇒ x = 5
Now the sum of A and B = (5 × 5 + 8 × 5)
⇒ (25 + 40)
⇒ 65