document.write( "Question 558743: A boy is 26 years older than his father. in 3 years time, his age would be a third of the father's age. Find the boy's present age. \n" ); document.write( "

Algebra.Com's Answer #363154 by Earlsdon(6294) $\"\"$ $\"About$

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I don't quite understand how a boy can be 26 years older than his father?
\n" ); document.write( "Did you mean to write: A boy is 26 years younger than his father?
\n" ); document.write( "Let B = the boy's present age and F = the father's present age:
\n" ); document.write( "1) $\"B+=+F-26\"$
\n" ); document.write( "2) $\"B%2B3+=+%281%2F3%29%28F%2B3%29\"$ Substitute $\"B+=+F-26\"$
\n" ); document.write( "2a) $\"%28F-26%29%2B3+=+%281%2F3%29%28F%2B3%29\"$ Multiply through by 3 to clear the fraction.
\n" ); document.write( "2b) $\"3%28%28F-26%29%2B3%29+=+F%2B3\"$ Simplify.
\n" ); document.write( "2c) $\"3F-69+=+F%2B3\"$
\n" ); document.write( "2d) $\"2F+=+72\"$
\n" ); document.write( "2e) $\"F+=+36\"$ and $\"B+=+36-26\"$ = $\"10\"$
\n" ); document.write( "The boy is 10 years old and the father is 36 years old.
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