Question

Janice is thinking of two numbers. She says that two times the first number plus the second number is 47. In​ addition, the first number plus three times the second number is 56. Find the numbers

Answer 1

Let the numbers be x and y, then
2x + y = 47 . . . (1)
x + 3y = 56 . . . (2)

(2) x 2 => 2x + 6y = 112 . . . (3)

(1) - (3) => -5y = -65 => y = -65/-5 = 13
From (2), x + 3(13) = 56 => x = 56 - 39 = 17

The two numbers are 13 and 17.