document.write( "Question 656275: 10 years ago, I was 14 times as old as my daughter. Now I am 4 times as old as she is. \n" ); document.write( "

Algebra.Com's Answer #409428 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
How old am I now?
\n" ); document.write( "Let $\"+x+\"$ = my age now
\n" ); document.write( " $\"+x+-+10+\"$ = my age 10 years ago
\n" ); document.write( "Let $\"+y+\"$ = my Daughter's age now
\n" ); document.write( " $\"+y+-+10+\"$ = my Daughter's age 10 years ago
\n" ); document.write( "----------
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+x+-+10+=+14%2A%28+y+-+10+%29+\"$
\n" ); document.write( "(2) $\"+x+=+4y+\"$
\n" ); document.write( "-------------
\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) $\"+4y+-+10+=+14%2A%28+y+-+10+%29+\"$
\n" ); document.write( "(1) $\"+4y+-+10+=+14y+-+140+\"$
\n" ); document.write( "(1) $\"+14y+-+4y+=+140+-+10+\"$
\n" ); document.write( "(1) $\"+10y+=+130+\"$
\n" ); document.write( "(1) $\"+y+=+13+\"$
\n" ); document.write( "and. since
\n" ); document.write( "(2) $\"+x+=+4y+\"$
\n" ); document.write( "(2) $\"+x+=+4%2A13+\"$
\n" ); document.write( "(2) $\"+x+=+52+\"$
\n" ); document.write( "I am 52 now and my Daughter is 13
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+x+-+10+=+14%2A%28+y+-+10+%29+\"$
\n" ); document.write( "(1) $\"+52+-+10+=+14%2A%28+13+-+10+%29+\"$
\n" ); document.write( "(1) $\"+42+=+14%2A3+\"$
\n" ); document.write( "(1) $\"+42+=+42+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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