Find the greatest possible pair of integers such that one integer is twice the other and their sum is less than 30 ?

Answer 1

Hi Darlene, Set up two equations to solve this problem. Let x represent one of the numbers and y represent the other one.

Equation 1, one integer is twice the other:

x = 2y

Equation 2, which is an inequality:

x + y < 30

Substitute for x using 2y:

2y + y < 30

3y < 30

Divide by 3:

y < 10

Solve for x:

x + y < 30

x + 10 < 30

Subtract 10 from both sides:

x < 20

The greatest pair of two numbers is 9 and 18, and are lest then 30.

Questions?