document.write( "Question 526843: I am twice as old as you were when i was your age. When you are as old as I am, both our ages will add up to 27. How old am I? \n" ); document.write( "
Algebra.Com's Answer #348709 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"a\" = my age now
\n" ); document.write( "Let \"b\" = your age now
\n" ); document.write( "Note that the difference in our ages
\n" ); document.write( "will always be \"+a+-+b+\"
\n" ); document.write( "( I think I am older than you )
\n" ); document.write( "----------------------
\n" ); document.write( "given:
\n" ); document.write( "When my age was your age, then you
\n" ); document.write( "must have been \"+b+-+%28a-b%29+=+2b+-+a+\"
\n" ); document.write( "\"+a+=+2%2A%28+2b+-+a+%29+\"
\n" ); document.write( "\"+a+=+4b+-+2a+\"
\n" ); document.write( "\"+3a+=+4b+\"
\n" ); document.write( "(1) \"+b+=+%283%2F4%29%2Aa+\"
\n" ); document.write( "and
\n" ); document.write( "When your age becomes \"a\", then I
\n" ); document.write( "will be \"+a+%2B+%28a-b%29+=+2a+-+b+\"
\n" ); document.write( "\"+a+%2B+2a+-+b+=+27+\"
\n" ); document.write( "(2) \"+3a+-+b+=+27+\"
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+3a+-+%283%2F4%29%2Aa+=+27+\"
\n" ); document.write( "(2) \"+12a+-+3a+=+108+\"
\n" ); document.write( "(2) \"+9a+=+108+\"
\n" ); document.write( "(2) \"+a+=+12+\"
\n" ); document.write( "I am 12
\n" ); document.write( "check:
\n" ); document.write( "(1) \"+b+=+%283%2F4%29%2Aa+\"
\n" ); document.write( "(1) \"+b+=+%283%2F4%29%2A12+\"
\n" ); document.write( "(1) \"+b+=+9+%7D%7D%0D%0A%282%29+%7B%7B%7B+3a+-+b+=+27+\"
\n" ); document.write( "(2) \"+3%2A12+-+9+=+27+\"
\n" ); document.write( "(2) \"+36+-+9+=+27+\"
\n" ); document.write( "(2) \"+27+=+27+\"
\n" ); document.write( "OK\r
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