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Popular Word Problems >

Cel is 24 years younger than Joyce. In 2 years, Cel will be 1/(3) times as old as Joyce. How old are they 5 years ago?

Solution

C e l i s 24 ye a rs yo u n g er t han J oyce . I n 2 ye a rs, C e l w i ll b e \frac{1}{3} t im es a s o l d a s J oyce . Ho w o l d a re t h ey 5 ye a rs a g o ?

Solution

Joyce age 5 years ago : 29

Cel age 5 years ago : 5

Solution steps

Translate the problem into an equation:

x + 2 = \frac{1}{3} (x + 24 + 2)

Solve for

x, x + 2 = \frac{1}{3} (x + 24 + 2) : x = 10

Find age

Joyce age 5 years ago : 29

Cel age 5 years ago : 5

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