The sum of two integers is 96. the larger is 27 less than twice the smaller. find the two integers

Question

Leanna Ware

Mathematics

22 September, 06:03

The sum of two integers is 96. the larger is 27 less than twice the smaller. find the two integers

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Answers (2)

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Anabel Richmond · Answer 1

Let x and y be the two integers.

x + y = 96

x = 2y - 27

Use Substitution:

(2y - 27) + y = 96

3y - 27 = 96

3y = 123

y = 41

plug in

x = 2 (41) - 27

x = 55

Adrien · Answer 2

Let's write one integer as X and the other one as Y

Now we have:

X+Y=96

X=2Y-27

2Y-27+Y=96 X=2Y-27

3Y=123 X=2x41-27=82-27

Y=41 X=55