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

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The sum of two integers is 19. The larger integer is 5 less than twi.pdf

  • 1. 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