Question

Two numbers sum to 45. One number is 19 more than the other number. Find the numbers algebraically.

Call one of the numbers x. The other number is 19 more than that number, represented by ____________.

Write an equation that can be used to solve this problem.

Answer 1

13 and 32 are the two numbers

x = 32, y = 13

Explanation:

x + y = 45

19 + x = y

Use Substitution Method:

19 + x + x = 45

2x + 19 = 45

2x = 26

x = 13