document.write( "Question 1020663: A father said to his son, When I was your age, you were 2 years old. His son replies, When I reach your age, you will be 68 years old. What is the father's present age? \n" ); document.write( "
Algebra.Com's Answer #636595 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+s+\" = the son's age now
\n" ); document.write( "Let \"+f+\" = the father's age now
\n" ); document.write( "\"+f+-+s+\" = the difference in their ages
\n" ); document.write( "----------------------------
\n" ); document.write( "When the son was 2, the father was:
\n" ); document.write( "2 + [ the difference in their ages ]
\n" ); document.write( "\"+2+%2B+f+-+s+\"
\n" ); document.write( "That was when the father was
\n" ); document.write( "the son's present age, so
\n" ); document.write( "\"+s+=+2+%2B+f+-+s+\"
\n" ); document.write( "(1) \"+2s+-+f+=+2+\"
\n" ); document.write( "---------------
\n" ); document.write( "When the father is \"+68+\",
\n" ); document.write( "then \"+68+\" - [ the difference in their ages ] =
\n" ); document.write( "\" your age \" which is the father's present age, so
\n" ); document.write( "\"+f+=+68+-+%28+f+-+s+%29+\"
\n" ); document.write( "\"+f+=+68+-+f+%2B+s+\"
\n" ); document.write( "(2) \"+-s+%2B+2f+=+68+\"
\n" ); document.write( "-----------------
\n" ); document.write( "Multiply both sides of (1) by \"+2+\" and add the equations
\n" ); document.write( "(1) \"+4s+-+2f+=+4+\"
\n" ); document.write( "(2) \"+-s+%2B+2f+=+68+\"
\n" ); document.write( "-------------------
\n" ); document.write( "\"+3s+=+72+\"
\n" ); document.write( "\"+s+=+24+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+2s+-+f+=+2+\"
\n" ); document.write( "(1) \"+2%2A24+-+f+=+2+\"
\n" ); document.write( "(1) \"+f+=+48+-+2+\"
\n" ); document.write( "(1) \"+f+=+46+\"
\n" ); document.write( "--------------
\n" ); document.write( "The father's present age is 46
\n" ); document.write( "-------------------------
\n" ); document.write( "check:
\n" ); document.write( "The difference in their ages is: \"+46+-+24+=+22+\"
\n" ); document.write( "\"A father said to his son, When I was your age,\"
\n" ); document.write( "when the fathers was: \"+24+\"
\n" ); document.write( "\" you were 2 years old.\"
\n" ); document.write( "\"+24+-+22+=+2+\" OK
\n" ); document.write( "-----------------------
\n" ); document.write( "\"When I reach your age, \"
\n" ); document.write( "when the son is \"+46\",
\n" ); document.write( "The father will be \"+46+%2B+22+=+68+\" OK
\n" ); document.write( "
\n" );