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Popular Word Problems >

A father is 10 times as old as his son. In 5 years the father will be 5 times as old as his son. How old is the father now and old is the son now?

Solution

A f a t h er i s 10 t im es a s o l d a s hi s so n . I n 5 ye a rs t h e f a t h er w i ll b e 5 t im es a s o l d a s hi s so n . Ho w o l d i s t h e f a t h er n o w an d o l d i s t h e so n n o w ?

Solution

Boy^{'} s age is : 4

Father^{'} s age is : 40

Solution steps

Translate the problem into an equation:

10 x + 5 = 5 (x + 5)

Solve for

x, 10 x + 5 = 5 (x + 5) : x = 4

Find age

Boy^{'} s age is : 4

Father^{'} s age is : 40

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