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Question 882858: Two numbers add to 275. The first is 39 less than the second. What are the numbers?
Answer by Leaf W.(135)   (Show Source):
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Let us call one of the numbers x. Since the "first is 39 less than the second," and we designate x to represent the second number, the first number is x - 39.
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Since the two numbers "add to 275," we can write
(first number) + (second number) = 275
(x - 39) + x = 275
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Now we can simplify:
(x - 39) + x = 275
x - 39 + x = 275
2x - 39 = 275
2x = 314
x = 157
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Therefore, the second number is 157. To solve for the first number, simply plug 157 into the expression for the first number:
x - 39 = 157 - 39 = 118
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Thus, the numbers are 118 and 157.
=)
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