Question 261281
The sum of two numbers is seventeen. The total of four times the smaller number and two times the larger number is forty-four. Find the two numbers

let x be one number and y be the other number
let y be larger than x

 x +  y = 17 (multiply by -2 and add to 2nd equation)
4x + 2y = 44

-2x - 2y = -34
 2x + 0y = 10

2x = 10
 x = 5

5 + y = 17
    y = 12