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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

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

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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