document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #167388 by LtAurora(115) $\"\"$ $\"About$

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If the age of the son is $\"x\"$ and the man is four times the son's age, then the man's age is $\"4x\"$ .
\n" ); document.write( "Since we know the sum of their ages is 50, we can write the following expression:
\n" ); document.write( " $\"x%2B4x=50\"$ .
\n" ); document.write( "To solve this we first combine the $\"x\"$ terms on the left hand side.
\n" ); document.write( " $\"5x=50\"$
\n" ); document.write( "We then need to isolate the $\"x\"$ term by dividing both sides of the equation by 5 to obtain:
\n" ); document.write( " $\"x=10\"$
\n" ); document.write( "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. \n" ); document.write( "

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