SOLUTION: A man is four times the age of his son and the sumof their age is 50. What is the ageof the son?

Question 224030: A man is four times the age of his son and the sumof their age is 50. What is the ageof the son?
Answer by LtAurora(115) (Show Source): You can put this solution on YOUR website!
If the age of the son is and the man is four times the son's age, then the man's age is .
Since we know the sum of their ages is 50, we can write the following expression:
.
To solve this we first combine the terms on the left hand side.

We then need to isolate the term by dividing both sides of the equation by 5 to obtain:

Recall that was defined as the age of the son, so the son's age is 10. We can check this by determining that the man's age was 4 times the son's, so the man was 40 years old. The sum of 40 and 10 is 50, so we are correct.
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