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Popular Word Problems >

The sum of the ages of Ace, Sabo, and Luffy is 27. Three years from now, Sabo will be 4 times as old as Ace. If Luffy was twice as old as Ace 3 years ago, how old they are now

Solution

T h e s u m o f t h e a g es o f A ce, S ab o, an d Lu ff y i s 27. T h ree ye a rs f ro m n o w, S ab o w i ll b e 4 t im es a s o l d a s A ce . I f Lu ff y w a s tw i ce a s o l d a s A ce 3 ye a rs a g o, h o w o l d t h ey a re n o w

Solution

Sabo^{'} s age is : 23

Luffy^{'} s age is : 4

Ace^{'} s age is : 3 \frac{1}{2}

Solution steps

Translate the problem into an equation:

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

x + y = 27, x + 3 = 4 (z + 3), y - 3 = 2 (z - 3) : x = 23, y = 4, z = \frac{7}{2}

Convert improper fractions to mixed numbers

Sabo^{'} s age is : 23

Luffy^{'} s age is : 4

Ace^{'} s age is : 3 \frac{1}{2}

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