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Popular Word Problems >

Fiona is 3 years younger than Irene. Half of Irene's age added to one third of Fiona's age is equal to 9 years. Find Irene's age.

Solution

F i o na i s 3 ye a rs yo u n g er t han I re n e . H a l f o f I re n e^{'} s a g e a dd e d t o o n e t hi r d o f F i o n a^{'} s a g e i s e q u a l t o 9 ye a rs . F in d I re n e^{'} s a g e .

Solution

Irene^{'} s age is : 17 \frac{1}{3}

Solution steps

Translate the problem into an equation:

\frac{1}{2} x + \frac{1}{3} = 9

Solve for

x, \frac{1}{2} x + \frac{1}{3} = 9 : x = \frac{52}{3}

Convert improper fractions to mixed numbers:

17 \frac{1}{3}

Irene^{'} s age is : 17 \frac{1}{3}

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