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Two less than the sum of a number and six is equal to the product of the number and three. What is the number?
Question
Two less than the sum of a number and six is equal to the product of
the number and three. What is the number?
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Mathematics
3 years
2021-08-24T22:17:16+00:00
2021-08-24T22:17:16+00:00 1 Answers
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Answers ( )
Let’s use the variable, x, to represent the unknown number.
We can represent the words, “the sum of a number and six, as : x + 6
The words, ” 2 less than the sum”, can be represented as: x + 6 – 2
The words, “the product of the number and three”, can be written as: 3x
Now create an equation using “is equal to” to join the expressions:
x + 6 -2 = 3x
Now combine like terms and use inverse operations to solve for x:
x + 6 -2 = 3x
x + 4 = 3x
x + 4 – x = 3x – x
4 = 2x
4/2 = 2x/2
2 = x
The unknown number is 2