the sum of two number is 70 and their difference is 24. write a system of equations to find the two number

The two numbers are 23 and 47.

Step-by-step explanation:

Let the integers be x and (70-x)

x - (70-x) = 24

2x - 70 = 24 (collect terms)

x - 35 = 12 (divide both sides by 2)

x = 47 (add 35 to both sides)

(70-x) = 70 - 47 = 23