One number is 9 more than twice another number. If the sum of the numbers is 129, find both numbers.

Question

Using equations to solve word problems. 

Answer 1

Let n represent the smaller number. The larger number is then 9 + 2n. Since their sum is 129,

 

n + (9 + 2n) = 129

3n + 9 = 129

3n = 120

n = 40

 

Hence, the smaller number is 40 and the larger number is 89.