Question

The difference between two numbers is 28. The larger number is 8 less than twice the smaller

number. Find both numbers.
[Only an algebraic solution can receive full credit.]

Answer 1

x - y = 28 (difference between the two numbers)
and
x - 8 = 2y (8 less than twice the smaller number)

From the first . . . x = 28 + y

28 + y - 8 = 2y
20 = 2y - y
20 = y

x - 20 = 28
x = 28 + 20 = 48