# Math

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need to describe 3 different problem solving approaches to this problem, one I think is algebra, but don't know how to solve, and i need to say how to solve each one in each different way, please help with this.

aaron is thinking of a number, if its doubled, increased by 10, cut into thirds, and reduced by 7, new number is 5, whats original number?

• Math -

n = original number

( 2 * n + 10 ) / 3 - 7 = 5 Add 7 to both sides

( 2 n + 10 ) / 3 - 7 + 7 = 5 + 7

( 2 * n + 10 ) / 3 = 12 Multiply both sides by 3

2 n + 10 = 12 * 3

2 n + 10 = 36 Subtract 10 to both sides

2 n + 10 - 10 = 36 - 10

2 n = 26 Divide both sides by 2

n = 13

( 2 * n + 10 ) / 3 - 7 =

( 2 * 13 + 10 ) / 3 - 7 =

( 26 + 10 ) / 3 - 7 =

36 / 3 - 7 = 12 - 7 = 5

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