The sum of two numbers is 66 and their difference is 22. What is the ratio of…

To find the ratio, we first identify the two numbers using a system of linear equations. Let the two numbers be x and y.

Set up the equations:

x + y = 66 (Sum)

x - y = 22 (Difference)

Solve for the numbers:

Add the two equations: (x + y) + (x - y) = 66 + 22

2x = 88

x = 44

Substitute x into the first equation: 44 + y = 66

y = 66 - 44 = 22

Determine the ratio:

The ratio of the two numbers is x : y = 44 : 22.

Dividing both sides by 22, we get 2 : 1.