Question

The sum of three numbers is 107 . The first number is 8 less than the third . The second number is 3 times the third . What are the numbers ?

Answer 1

(x - 8) + 3x + x = 107

x - 8 + 3x + x = 107

5x - 8 = 107

5x = 115

x = 23, SO...

The first number is 23-8, which is 15

The second number is 3 x 23, which is 69

The third number is 23

15 + 69 + 23 = 107 CHECK!

Explanation:

Answer 2

First number = x
Third number = x - 7
Second number = 2(x - 7)
x + 2(x - 7) + x - 7 = 107
x + 2x - 14 + x - 7 = 107
Collect like terms.
4x - 21 = 107
4x = 128
x = 32
First number = 32
Second number = 50
Third number = 25
Total = 107.