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______ - mathselab.com

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___________

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

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