Find the integer

Question

The sum of an integer and twice a smaller integer is 35. If the smaller integer is subtracted from twice the larger integer, the difference is 15. What are the two integer

Answer 1

L+2S = 35, 2L-S=15

2L+4S = 70

2L -S = 15 subtract to get

5S = 55

S = 11

L =35-2S = 35 -22 = 13

Numbers are 11 and 13