The sum of two numbers is twice their difference. The larger number is 6 more than twice the smaller. Find the two numbers.

Answer 1

X = Smaller number.
(2x+6) = Larger number.

(2x+6) + x = 2((2x+6) - x)
3x+6 = 2(x+6)
3x+6 = 2x+12
3x-2x = 12-6

X = 6
2x+6 = 2*6 + 6 = 18.