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If you add 7 to a number, multiply the sum by 3, and subtract 47 from the product, you will get the number you started with. What is the number?
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May 28, 2019
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If you add 7 to a number, multiply the sum by 3, and subtract 47 from the product, you will get the number you started with. What is the number?
Mathematics
middle-school
MPhil
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3(x+7)-47=x
4x+21-47=x
3x-26=x
2x=26
X=13
Taylor Ackley
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May 29, 2019
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Taylor Ackley
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Let the unknown number be x.
"add 7 to a number": now you have x + 7
"
multiply the sum by 3": now you have 3(x + 7)
"subtract 47 from the product": now you have 3(x + 7) - 47
"you will get the number you started with": 3(x + 7) - 47 = x
Now we solve the equation for x.
3(x + 7) - 47 = x
3x + 21 - 47 = x
3x - 26 = x
2x - 26 = 0
2x = 26
x = 13
Answer: The number is 13
Fceller
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May 31, 2019
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Fceller
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