SOLUTION: Five times the difference of a number and three is four less than four times the number. Find the number.

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Question 989507: Five times the difference of a number and three is four less than four times the number. Find the number.
Answer by farohw(175) About Me  (Show Source):
You can put this solution on YOUR website!

Suppose "n" is a number.

Five times the difference of a number and three: 5(n - 3)

...is four less than four times the number: 4n - 4

The equation: 5(n - 3) = 4n - 4

Solve,
5(n - 3) = 4n - 4

5n - 15 = 4n - 4 ---> 5n - 4n = 15 - 4

n = 11

Verify:
5(n - 3) = 4n - 4 --> 5(11 - 3) = 4(11) - 4 --> 40 = 40


Thus, n = 11 is the number.