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Popular Word Problems >

If a number is added to the numerator of 3/7 and the same number is subtracted from the denominator, the result is 4. Find the number.

Solution

I f a n u mb er i s a dd e d t o t h e n u m er a t or o f \frac{3}{7} an d t h e s am e n u mb er i s s u b t r a c t e d f ro m t h e d e n o mina t or, t h e res u lt i s 4. F in d t h e n u mb er .

Solution

The number : 5

Solution steps

Represent the number with

x

A.T.Q.:

\frac{3 + x}{7 - x} = 4

Solve for

x, \frac{3 + x}{7 - x} = 4 : x = 5

The number : 5

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