The larger of two numbers is 12 more than the smaller number. If the sum of the two numbers is 74, find the two numbers

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Given information
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Larger number is 12 more than smaller number.
Sum of the 2 numbers is 74.

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Form the equation and solve for x
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Let x be the smaller number
smaller number = x
larger number = x + 12

x + (x + 12) = 74
x + x + 12 = 74
2x + 12 = 74
2x = 74 - 12
2x = 62
x = 62 ÷ 2
x = 31

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Find the two numbers
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Smaller number = x = 31
Larger number = x + 12 = 31 + 12 = 43

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Answer: The two numbers are 31 and 43
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