Two numbers are in the ratio 2 : 3. If 2 is subtracted from the first and 2 is added to the second, the ratio becomes 1 : 2. The sum of the numbers is :
30
28
24
10
Correct Option: A
Let the number be 2x and 3x. Then.
2x − 2
=
1
3x + 2
2
⇒ 4x – 4 = 3x + 2 ∴ x = 6 ∴ Sum of Sum of numbers = 5x = 5 × 6 = 30
