Two numbers are in ratio 2:3. If 2 be subtracted from the first and 2 be added to the second, the ratio becomes 1:2. Find the sum of the numbers.
A)30
B)28
C)24
D)10

Question

Quizplus · Accepted Answer

The original numbers can be represented as 2x and 3x. After the adjustments, the new ratio is (2x - 2) to (3x + 2) = 1:2. Solving the equation 2(2x - 2) = 1(3x + 2) gives x = 6. The original numbers are 12 and 18, summing to 30.

Two Numbers Are in Ratio 2:3