Question

Mira picked two numbers from a bowl. The difference of the two numbers was 4, and the sum of one-half of each number

was 18. The system that represents Mira's numbers is below.
x - y = 4
3x + y = 18
Which two numbers did Mira pick?

Answer 1

Answer: multiply 1/2x - 1/2 y = 4 by 2,, we get x - y = 8

x - y = 8 and

x + y = 18 Adding these 2 equations:-

2x = 26

x = 13

and y = 18-13 = 5

Mira picked the numbers 13 and 5.