Question

One number is eight more than twice another. If their difference is 25, what is the larger

number?
35
42
17

Answer 1

17

Explanation:

Let the smaller number = x

Let the larger number = y

y = 2x + 8

y - x = 25 Add x to both sides

y = x + 25 Substitute this into the first equation

x + 25 = 2x + 8 Subtract 8 from both sides

x + 25 - 8 = 2x Combine

x + 17 = 2x Subtract x from both sides.

17 = 2x - x Combine

17 = x