The sum of two numbers is 40. One number is 12 more than the other. Find the numbers.
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Let one number be equal to x.
Since the other is 12 more, we can express this as x + 12.
Write an expression showing the sum of these two numbers equal to 40:
x + (x + 12) = 40
Combine like terms:
2x + 12 = 40
Subtract 12 from both sides:
2x = 28
Divide both sides by 2:
x = 14
This is the value of one of the numbers. Since the other number is "x + 12", we can solve for this value:
14 + 12 = 26.
The two numbers are 14 and 26.
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