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

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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) About Me  (Show Source):
You can put this solution on YOUR website!
If the age of the son is x and the man is four times the son's age, then the man's age is 4x.
Since we know the sum of their ages is 50, we can write the following expression:
x%2B4x=50.
To solve this we first combine the x terms on the left hand side.
5x=50
We then need to isolate the x term by dividing both sides of the equation by 5 to obtain:
x=10
Recall that x 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.