Question

The larger of two numbers is 10 more than the smaller number. Also, five times the larger number

is 40 more than 6 times the smaller number. Find both numbers.

Answer 1

10 and 20

Explanation:

x - the smaller number

x 10 - the larger number

5(x+10) - five times the larger number

6x - 6 times the smaller number

6x+40 - 40 more than 6 times the smaller number

6x + 40 = 5(x + 10)

6x + 40 = 5x + 50

-40 -40

6x = 5x + 10

-5x -5x

x = 10

x+10 = 10 + 10 = 20