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Popular Word Problems >

John's father is 5 times older than John and John is twice as old as his sister Alice. In two years time, the sum of their ages will be 58. How old is John now?

Solution

J o h n^{'} s f a t h er i s 5 t im es o l d er t han J o hn an d J o hn i s tw i ce a s o l d a s hi s s i s t er A l i ce . I n tw o ye a rs t im e, t h e s u m o f t h e i r a g es w i ll b e 58. Ho w o l d i s J o hn n o w ?

Solution

John^{'} s age is : 8

Solution steps

Translate the problem into an equation:

x + 2 + 5 x + 2 + \frac{x}{2} + 2 = 58

Solve for

x, x + 2 + 5 x + 2 + \frac{x}{2} + 2 = 58 : x = 8

John^{'} s age is : 8

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