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Popular Word Problems >

Six years ago a father was twelve times as old as his son. In three years time the father will be three times as old as his son. How old are they now?

Solution

S i x ye a rs a g o a f a t h er w a s tw e l v e t im es a s o l d a s hi s so n . I n t h ree ye a rs t im e t h e f a t h er w i ll b e t h ree t im es a s o l d a s hi s so n . Ho w o l d a re t h ey n o w ?

Solution

Father^{'} s age is : 30

Boy^{'} s age is : 8

Solution steps

Translate the problem into an equation:

x - 6 = 12 (y - 6), x + 3 = 3 (y + 3)

x - 6 = 12 (y - 6), x + 3 = 3 (y + 3) : x = 30, y = 8

Father^{'} s age is : 30

Boy^{'} s age is : 8

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