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Popular Word Problems >

Three years ago a mother was four times as old as her daughter. In nine years time the mother will be twice as old as her daughter. How old are they now?

Solution

T h ree ye a rs a g o a m o t h er w a s f o u r t im es a s o l d a s h er d a ug h t er . I n nin e ye a rs t im e t h e m o t h er w i ll b e tw i ce a s o l d a s h er d a ug h t er . Ho w o l d a re t h ey n o w ?

Solution

Mother^{'} s age is : 27

Daughter^{'} s age is : 9

Solution steps

Translate the problem into an equation:

x - 3 = 4 (y - 3), x + 9 = 2 (y + 9)

x - 3 = 4 (y - 3), x + 9 = 2 (y + 9) : x = 27, y = 9

Mother^{'} s age is : 27

Daughter^{'} s age is : 9

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