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The sum of one third of a number and 2 1/3 is 9 find number

1 Answer

3 votes

Answer:

20

Explanation:

The given relation can be written as the 2-step linear equation ...

(1/3)n +2 1/3 = 9

n +7 = 27 . . . . . . . . . step 1: multipy by 3 (makes the coefficient = 1)

n = 20 . . . . . . . . . . . step 2: subtract 7 (separates variable from constant)

The number is 20.

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Additional comment

Usually it is convenient to do the two steps in the opposite order: get the variable term by itself, then make its coefficient 1. Here, we chose the order we did because it eliminated fractions from the problem, which is often a step you'd like to do first.

User RobinJoe
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