Question 110

The ratio of two numbers is 4 : 5. If both numbers are increased by 4, the ratio becomes 5 : 6. What is the sum of the two numbers?

Solution

Let the two numbers be 4x and 5x.

If both numbers are increased by 4, the ratio becomes 5 : 6

4x + 4 : 5x + 4 = 5 : 6

6(4x + 4) = 5(5x + 4)

24x + 24 = 25x + 20

x = 4

Sum of 2 numbers (5x + 4x) = 9(4) = 36.

Hence, option D is the correct answer.

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