document.write( "Question 603784: sonny is twice as old as david. Four years ago, he was four times as old as david. When will the sum of their ages be 66? \n" ); document.write( "
Algebra.Com's Answer #380828 by josmiceli(19441)\"\" \"About 
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Let \"+s+\" = Sonny's age now
\n" ); document.write( "Let \"+d+\" = David's age now
\n" ); document.write( "given:
\n" ); document.write( "(1) \"+s+=+2d+\"
\n" ); document.write( "(2) \"+s+-+4+=+4%2A%28+d+-+4+%29+\"
\n" ); document.write( "-------------------------------
\n" ); document.write( "Let \"+n+\" = the number of years to add to
\n" ); document.write( "each one's age, so the sum = \"+66+\"
\n" ); document.write( "(3) \"+s+%2B+n+%2B+d+%2B+n+=+66+\"
\n" ); document.write( "------------------------------
\n" ); document.write( "This is 3 equations and 3 unknowns, so it's solvable
\n" ); document.write( "(1) \"+s+=+2d+\"
\n" ); document.write( "(1) \"+d+=+s%2F2+\"
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) \"+s+-+4+=+4%2A%28+s%2F2+-+4+%29+\"
\n" ); document.write( "(2) \"+s+-+4+=+2s+-+16+\"
\n" ); document.write( "(2) \"+s+=+16+-+4+\"
\n" ); document.write( "(2) \"+s+=+12+\"
\n" ); document.write( "and, since
\n" ); document.write( "(1) \"+d+=+s%2F2+\"
\n" ); document.write( "(1) \"+d+=+12%2F2+\"
\n" ); document.write( "(1) \"+d+=+6+\"
\n" ); document.write( "Substitute these results into (3)
\n" ); document.write( "(3) \"+12+%2B+n+%2B+6+%2B+n+=+66+\"
\n" ); document.write( "(3) \"+2n+%2B+18+=+66+\"
\n" ); document.write( "(3) \"+2n+=+66+-+18+\"
\n" ); document.write( "(3) \"+2n+=+48+\"
\n" ); document.write( "(3) \"+n+=+24+\"
\n" ); document.write( "In 24 years the sum of their ages will be 66
\n" ); document.write( "check:
\n" ); document.write( "(3) \"+s+%2B+n+%2B+d+%2B+n+=+66+\"
\n" ); document.write( "(3) \"+12+%2B+24+%2B+6+%2B+24+=+66+\"
\n" ); document.write( "(3) \"+36+%2B+30+=+66+\"
\n" ); document.write( "(3) \"+66+=+66+\"
\n" ); document.write( "OK\r
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