Question

The some of two integers is 31. The larger of the two integers is 4 time more than 2 times the smaller integer. What are the integers?

Answer 1

y = 9

x = 22

Explanation:

Let the larger integer = x

the smaller integer = y

The following equations can be derived from the question

x + y = 31 --equation 1

x = 4 + 2y --equation 2

Substitute for x in equation 1

4 + 2y + y = 31

solve for y

3y = 27

y = 9

substitute for y in equation 1 and solve for x

x = 31 - 9 = 22

y = 9

x = 22