Question

The sum of two numbers is 8 less than twice the first number. Their difference is 4 less than twice the second number. What is the larger number?

Answer 1

x + y = 2x - 8 (1)
x - y = 2y - 4 (2)
2x = 2(x + y) - 12 ---> (x + y) = x + 6 (3)
Compare (1) and (3)
2x - 8 = x + 6 --> x =
(2) gives 3y = ...... --> y = ...