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jmc

algebra junior

Problem

If

\frac{1}{x} + \frac{1}{y} = \frac{1}{z}

, find the value of

y

when

x = 25

and

z = 24

.

Solution

We have

\frac{1}{25} + \frac{1}{y} = \frac{1}{24}

, so

\frac{1}{y} = \frac{1}{24} - \frac{1}{25} = \frac{25}{600} - \frac{24}{600} = \frac{1}{600},

which means

y = 600

.

Final answer

600