The sum of two integers is 44. The larger of the two integers five more than two times the smaller integer. What are the integers?

Question

the Options are 13 and 31, -13 and 57, 21 and 23

Answer 1

If you let L represent the larger and S the smaller, L+S=44 from the first sentence or S = 44-L

From the second sentence, L=2S+5 Thus,

S = 44 - (2S+5) = 44 - 2S - 5 = 39 - 2S

S+2S = 39-2S+2S

3S=39

S=13

L=44-13=31