Question

The sum of two numbers is the same as four times the smaller number. If twice the larger is decreased by the smaller, the result is 20. Find the numbers.

Answer 1

4 and 12

Explanation:

let x be the smaller number and y the larger number , the

x + y = 4x ( subtract x from both sides )

y = 3x → (1)

2y - x = 20 → (2)

substitute y = 3x into (2)

2(3x) - x = 20

6x - x = 20

5x = 20 ( divide both sides by 5 )

x = 4

substitute x = 4 into (1)

y = 3x = 3 × 4 = 12

smaller number is 4 and larger number is 12