SOLUTION: john age is 2 years more than twice Mai's age and the sum of their age is 32 years. How old is each?

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Question 1128459: john age is 2 years more than twice Mai's age and the sum of their age is 32 years. How old is each?
Answer by ikleyn(52788) About Me  (Show Source):
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ANSWER. John is 22 years old; Mai is 10 years old.


Solution 

For a minute, take off 2 years from the John's age.


Then you have two quantities:  the "corrected" John's age and the Mia's age.


The first quantity is 2 times the second and they sum up to 32-2 = 30.


x + 2x = 30  ====>  3x = 30  ====>  x = 30/3 = 10.


Thus Mia is 10 years old and John is 2x + 2 = 2*10 + 2 = 22 years old.

Solved.