document.write( "Question 1030696: Two times Heather's age plus seven times Jim's age adds up to 566. Also, Jim's age is 6 less than twice Heather's age. How old is Jim? \n" ); document.write( "

Algebra.Com's Answer #645508 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+h+\"$ = Heather's age now
\n" ); document.write( "Let $\"+j+\"$ = Jim's age now
\n" ); document.write( "-----------------------------
\n" ); document.write( "(1) $\"+2h+%2B+7j+=+566+\"$
\n" ); document.write( "(2) $\"+j+=+2h+-+6+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "Substitute (2) into (1)
\n" ); document.write( "(1) $\"+2h+%2B+7%2A%28+2h+-+6+%29+=+566+\"$
\n" ); document.write( "(1) $\"+2h+%2B+14h+-+42+=+566+\"$
\n" ); document.write( "(1) $\"+16h+=+608+\"$
\n" ); document.write( "(1) $\"+h+=+38+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+j+=+2h+-+6+\"$
\n" ); document.write( "(2) $\"+j+=+2%2A38+-+6+\"$
\n" ); document.write( "(2) $\"+j+=+76+-+6+\"$
\n" ); document.write( "(2) $\"+j+=+70+\"$
\n" ); document.write( "Jim is 70
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+2h+%2B+7j+=+566+\"$
\n" ); document.write( "(1) $\"+2%2A38+%2B+7%2A70+=+566+\"$
\n" ); document.write( "(1) $\"+76+%2B+490+=+566+\"$
\n" ); document.write( "(1) $\"+566+=+566+\"$
\n" ); document.write( "OK \n" ); document.write( "

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