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dalvyx [7]
3 years ago
9

The sum of two integers is 64. The larger is 16 more than three times the smaller. Find the two integers.

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
3 0

Answer:

12 and 52

Step-by-step explanation:

Let x and y be the 2 integers with x > y, then

x + y = 64 and

x = 3y + 16 ( 16 more than 3 times the smaller )

Substitute x = 3y + 16 into x + y = 64, that is

3y + 16 + y = 64

4y + 16 = 64 ( subtract 16 from both sides )

4y = 48 ( divide both sides by 4 )

y = 12 and x = 3(12) + 16 = 36 + 16 = 52

The 2 integers are 12 and 52

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