The difference between the two positive numbers is 32. The larger number is 8 less than 5 times the smaller number. Find the number

Answer 1

x = larger number

y = smaller number

x - y = 32

x = 5y - 8

(5y - 8) - y = 32

4y = 40

y = 10

x = 5(10) - 8 = 42

Test the answer.

42 - 10 = 32 (good)

5(10) - 8 = 42 (good)