Question

The sum of two numbers is 39. The second number is 6 more than half of the first number. Let a represent the first number and let b represent the second number. What are the two numbers? Use the table to answer the question.

Answer 1

Answer:22 and 17

Explanation:

Answer 2

Write 2 equations:

a +b = 39

and b = 1/2a + 6

Now replace b in the first equation with the second one:

a + 1/2a + 6 = 39

Combine like terms:

1 1/2a + 6 = 39

Subtract 6 from each side:

1 1/2a = 33

Divide both sides by 1 1/2:

a = 33 / 1 1/2 = 33 / 1.5

a = 22

Now replace a with 22 in the first equation and solve for b:

22 + b = 39

b = 39 -22

b = 17

The two numbers are 17 and 22.