The sum of two positive integers is 56. When the smaller integer is subtracted from twice the larger, the result is 34. Find the two integers.

Question

The sum of two positive integers is 56. When the smaller integer is subtracted from twice the larger, the result is 34. Find the two integers.

Answer 1

S+L=56

L= 56-S

2L= 112 -2S

2L-S = 34

2L = 34+S

112-2S = 34 +S

3S = 112-34 = 78

S = 78/3 = 26

L= 56-26= 30