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Popular Word Problems >

18 times the difference between a number and 97 is equal to the number plus 9

Solution

18 t im es t h e d i ff ere n ce b e tw ee n a n u mb er an d 97 i s e q u a l t o t h e n u mb er pl u s 9

Solution

The number : 103 \frac{4}{17}

Solution steps

Represent the number with

x

A.T.Q.:

18 (x - 97) = x + 9

Solve for

x, 18 (x - 97) = x + 9 : x = \frac{1755}{17}

Convert improper fractions to mixed numbers:

\frac{1755}{17} = 103 \frac{4}{17}

The number : 103 \frac{4}{17}

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