word problem

Question

the difference of two numbers is 9. the larger number is six less than twice the smaller number. Find the numbers.

Answer 1

a - b = 9

a = 2b - 6

 

Substituting the "value" for a from the second equation into the first...

 

2b - 6 - b = 9

             b = 15

a - 15 = 9

        a = 24