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One number exceeds another by 12. If five times the number is subtracted from three times the larger number, the result is 20. Find the numbers.

Solution

One number exceeds another by 12. If five times the number is subtracted from three times the larger number, the result is 20. Find the numbers.

Solution

The numbers : 20, 8

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x = y + 12

3 x - 5 y = 20

x = y + 12, 3 x - 5 y = 20 : x = 20, y = 8

The numbers : 20, 8

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