Question

The difference of two numbers is 18. The sum of the two numbers is 62. Let x be the greater number,and let y be the lesser number

Answer 1

• x = 40
• y = 22

Explanation:

We know that:

• x - y = 18
• x + y = 62

Work:

• x - y = 18

x + y = 62

• => (x + x) + (y - y) = (18 + 62)
• => 2x + 0 = 80
• => 2x = 80
• => x = 40

To find y, let's use any equation in the "we know that" section.

• => 40 - y = 18
• => 40 - 18 = y
• => 22 = y

Now, let's check our work by using the second equation.

Check:

• x + y = 62
• => 40 + 22 = 62
• => 62 = 62 (Proved correct)

Hoped this helped.

`BrainiacUser1357`