document.write( "Question 1034606: Jack is 4 times as old as Lacy. 8 years from now the sum of their ages will be 76. How old are they now? \n" ); document.write( "

Algebra.Com's Answer #649251 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = Jack's age now
\n" ); document.write( "Let $\"+b+\"$ = Lacy's age now
\n" ); document.write( "-----------------------
\n" ); document.write( "(1) $\"+a+=+4b+\"$
\n" ); document.write( "(2) $\"+%28+a+%2B+8+%29+%2B+%28+b+%2B+8+%29+=+76+\"$
\n" ); document.write( "----------------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+%28+4b+%2B+8+%29+%2B+%28+b+%2B+8+%29+=+76+\"$
\n" ); document.write( "(2) $\"+5b+%2B+16+=+76+\"$
\n" ); document.write( "(2) $\"+5b+=+60+\"$
\n" ); document.write( "(2) $\"+b+=+12+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+=+4b+\"$
\n" ); document.write( "(1) $\"+a+=+4%2A12+\"$
\n" ); document.write( "(1) $\"+a+=+48+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "Jack is 48 and Lacy is 12
\n" ); document.write( "--------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+%28+a+%2B+8+%29+%2B+%28+b+%2B+8+%29+=+76+\"$
\n" ); document.write( "(2) $\"+%28+48+%2B+8+%29+%2B+%28+12+%2B+8+%29+=+76+\"$
\n" ); document.write( "(2) $\"+56+%2B+20+=+76+\"$
\n" ); document.write( "(2) $\"+76+=+76+\"$
\n" ); document.write( "OK \n" ); document.write( "

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