document.write( "Question 888290: Two years ago, a man was five times as old as his son. Two years later, his age will be 8 more than three times the age of the son. Find the present ages of the man and his son \n" ); document.write( "

Algebra.Com's Answer #537242 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+m+\"$ = man's age now
\n" ); document.write( "Let $\"+s+\"$ = son's age now
\n" ); document.write( "-------------------------
\n" ); document.write( "(1) $\"+m+-+2+=+5%2A%28+s+-+2+%29+\"$
\n" ); document.write( "(2) $\"+m+%2B+2+=+3%2A%28+s+%2B+2+%29+%2B+8+\"$
\n" ); document.write( "-----------------------------
\n" ); document.write( "(1) $\"+m+-+2+=+5s+-+10+\"$
\n" ); document.write( "(1) $\"+5s+-+m+=+8+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+m+%2B+2+=+3s+%2B+6+%2B+8+\"$
\n" ); document.write( "(2) $\"+-3s+%2B+m+=+12+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "Add (1) and (2)
\n" ); document.write( "(1) $\"+5s+-+m+=+8+\"$
\n" ); document.write( "(2) $\"+-3s+%2B+m+=+12+\"$
\n" ); document.write( " $\"+2s+=+20+\"$
\n" ); document.write( " $\"+s+=+10+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+5s+-+m+=+8+\"$
\n" ); document.write( "(1) $\"+5%2A10+-+m+=+8+\"$
\n" ); document.write( "(1) $\"+m+=+50+-+8+\"$
\n" ); document.write( "(1) $\"+m+=+42+\"$
\n" ); document.write( "The son is 10
\n" ); document.write( "The man is 42
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+m+%2B+2+=+3%2A%28+s+%2B+2+%29+%2B+8+\"$
\n" ); document.write( "(2) $\"+42+%2B+2+=+3%2A%28+10+%2B+2+%29+%2B+8+\"$
\n" ); document.write( "(2) $\"+44+=+3%2A12+%2B+8+\"$
\n" ); document.write( "(2) $\"+44+=+36+%2B+8+\"$
\n" ); document.write( "(2) $\"+44+=+44+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );