Question 20

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

Solution

let the 2 numbers be x and y

sum of 2 numbers = 5

x + y = 5............(1)

difference of 2 numbers = 1

x - y = 1...........(2)

solving (1) and (2)

x = 3

substitute x in (1)

3 + y = 5

y = 2

ratio of the greater number to the smaller number is x : y = 3 : 2

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