The sum of the ages of john and mary is 32. four years ago, john was twice as old as mary . find the present age of each

John is  20  

Mary  is 12

Step-by-step explanation:

We can use one variable to define their ages because we know the relationship between their ages.

Mary is younger, let Mary's present age be  x  years,

Then John's present age is  32 − x  years (Sum of their ages is  (32)

4  years ago, they were both  4  years younger than now.   Mary was  ( x − 4 )  and John was  ( 32 − x − 4 ) = ( 28 − x )  years old.  John was twice as old as Mary:

2 ( x − 4 ) = 28 − x

2 x − 8 = 28 − x

3 x = 28 + 8

3 x = 36

x = 12

Mary's age is  12  and John's age is  20

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