The ratio between two numbers is 19 : 24. If each number is reduced by 36, the ratio becomes 3 : 4. Find the sum of the numbers.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 387.
Let the two numbers be 19x and 24x
After reducing each by 36:
(19x - 36) / (24x - 36) = 3 / 4
4(19x - 36) = 3(24x - 36)
76x - 144 = 72x - 108
76x - 72x = -108 + 144
4x = 36
x = 9
Now, the numbers are:
19x = 19 × 9 = 171
24x = 24 × 9 = 216
Sum = 171 + 216 = 387