Question

The difference of two numbers is 5. The first number is twice the second number minus 6. What are the two numbers?

Answer 1

x = 16

y = 11

Explanation:

Let the larger number = x

Let the smaller number = y

x - y = 5

x = 2*y - 6

Put the second equation into the first. Substitute for x

2y - 6 - y = 5

combine

y - 6 = 5

and 6 to both sides.

y - 6 + 6 = 5 + 6

Combine

y = 11

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Find x

x - y = 5 Substitute for y

x - 11 = 5 Add 11 to both sides.

x - 11+11=5+11

x = 16