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The sum of two numbers is 124. Three times the smaller number exceeds the larger number by 12. Find the numbers.

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by trixiesuba

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by trixiesuba

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68 and 56 are the numbers

let 'y' be the larger number

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"the sum of the two numbers is 124"

x + y = 124 -equation 1

"three times the smaller number exceeds the larger number by 12"

-equation 2

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from equation 2

3x = y + 12

y = 3x - 12 -equation 3

substitute equation 3 to equation 1

x + y = 124

x + (3x - 12) = 124

x + 3x - 12 = 124

4x = 124 + 12

4x = 136

x = 34

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substitute x to equation 3

y = 3x - 12

y = 3 (34) - 12

y = 90

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therefore the numbers are 34 & 90