Question

The larger number of two is five more than twice the smaller number. The sum of the two numbers is 38. Find the Numbers.

Answer 1

x=27

y=11

Explanation:

To find the two numbers, write a system of equations with x as one number and y as another:

x = 5+2y

x+y = 38

Use substitution and substitute x=5+2y into x+y= 38.

(5+2y) + y =38

5 +3y = 38

3y=33

y=11

Substitute y=11 into 1 equation.

x = 5+2(11)

x = 5+22

x = 27