SOLUTION: The sum of 6 times John's age and 5 times Mary's age is 150. John is 2 years less than twice as old as Mary. Find each of their ages.

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Question 114748: The sum of 6 times John's age and 5 times Mary's age is 150. John is 2 years less than twice as old as Mary. Find each of their ages.
Answer by awang1996(50) About Me  (Show Source):
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The sum of 6 times John's age and 5 times Mary's age is 150. John is 2 years less than twice as old as Mary. Find each of their ages.


6j+5m=150
j=2m-2

6(2m-2)+5m=150
12m-12+5m=150
17m-12=150
17m=162
m=approximetally 10
j=approximetally 18