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Popular Word Problems >

Joan is 3 times as old as Martha, and Pia is three years younger than Martha. If the sum of all their ages 3 years ago was 63, what are their ages now?

Solution

J o an i s 3 t im es a s o l d a s M a r t ha, an d P ia i s t h ree ye a rs yo u n g er t han M a r t ha . I f t h e s u m o f a ll t h e i r a g es 3 ye a rs a g o w a s 63, w ha t a re t h e i r a g es n o w ?

Solution

Martha^{'} s age is : 15

Joan^{'} s age is : 45

Pia^{'} s age is : 12

Solution steps

Translate the problem into an equation:

3 x - 3 + x - 3 + x - 3 - 3 = 63

Solve for

x, 3 x - 3 + x - 3 + x - 3 - 3 = 63 : x = 15

Find age

Martha^{'} s age is : 15

Joan^{'} s age is : 45

Pia^{'} s age is : 12

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