One number is 8 more than another number. The sum of the number is 6. What are the numbers? (hint: set up a system of equations to help yourself solve)

Answer 1

1) n₂ = n₁ + 8

2) n₁ + n₂ = 6

These will be our two equations we will use to solve for the two numbers. With this, let's substitute equation 1) into equation 2) and solve:

n₁ + (n₁ + 8) = 6

2n₁ + 8 = 6

2n₁ = -2

n₁ = -1

Plugging back into equation 1):

n₂ = -1 + 8

n₂ = 7

Checking our answers:

1) 7 = -1 + 6 (good)

2) -1 + 7 = 6 (good)

Therefore, our answers are correct.