SOLUTION: Mary is 5 years older than twice the the age of Lin their combined age is 32 what’s the answer and equation

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Question 1134656: Mary is 5 years older than twice the the age of Lin their combined age is 32 what’s the answer and equation
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


With formal algebra....

Let x = Lin's age
Then 2x+5 = Mary's age

The sum of their ages is 32:

%28x%29%2B%282x%2B5%29+=+32

I'll let you do the algebra to solve the problem.

Here is an informal solution method that uses very nearly the same steps as the formal algebraic solution, but without the form algebra.

(1) Subtract 5 from Mary's age. Now she is twice Lin's ages, and the sum of their ages is 32-5 = 27.
(2) Mary twice as old as Lin, and the sum of their ages 27, makes Lin 9 and Mary 18.
(3) Add back on the 5 years you subtracted from Mary's age.

ANSWER: Lin is 9 and Mary is 18+5 = 23.