The sum of two integers is 19 The larger integer is 5 less t

The sum of two integers is 19. The larger integer is 5 less than twice the smaller. Find the two integers.

Solution

Let the larger integer be X and smaller integer be Y

Given sum of two integers is 19 i.e., X+Y=19

The larger integer is 5 less than twice the smaller i.e., X=2Y-5

X+Y=19

By plugging X=2Y-5 in X+Y=19 we get

2Y-5+Y=19

3Y=24

Y=24/3=8

X+Y=19

X+8=19

X=19-8=11

Therefore the two integers are 11,8