## Question

**The ratio of the sum of two numbers and their difference is 5:1. The ratio of the greater number to the smaller number is___________**

A. 5:1

B. 2:3

C. 1:5

D. 3:2

**Answer:** D

**Solution:**

Let the numbers be x and y.

We know that x + y/ x – y = 5/1

=> 5x – 5y = x + y

=> 4x = 6y

=> x/y = 6/4

**x : y = 3 : 2**