Two numbers are in the ratio of 7 : 4. If each number is increased by 12, then the ratio becomes 3 : 2. The sum of the numbers is:
Answer & explanation
Correct answer: option 2
Here,
A : B
7 : 4
After adding 12 to both numbers,
A : B
3 : 2
To compare both, we multiply final ratio with 3,
⇒ (3 : 2) x 3 = 9 : 6
⇒ 6 - 4 = 2 units = 12
⇒ 1 unit = 6
⇒ Sum of initial numbers = (7 + 4) x 6 = 11 x 6 = 66.