SOLUTION: two-thirds of a number increased by 10, gives the same result as 25 subtracted from three times the number. find the number

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Question 373969: two-thirds of a number increased by 10, gives the same result as 25 subtracted from three times the number. find the number
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let n be the number
%282%2F3%29n%2B10+=+3n-25 "Two-thirds of a number increased by 10, gives the same result as 25 subtracted from three times the number."
Multiply through by 3 to clear the fraction.
2n%2B30+=+9n-75 Subtract 2n from both sides.
30+=+7n-75 Add 75 to both sides.
105+=+7n Finally, divide both sides by 7.
15+=+n
The number is 15.