document.write( "Question 849369: Lukas was 50 years old when his grand daughter was born. Now he is 2 years more than 4 times his grand daughter's age. How old is his grand daughter? \n" ); document.write( "

Algebra.Com's Answer #511497 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = Lukas's age now
\n" ); document.write( "Let $\"+b+\"$ = his grand daughter's age now
\n" ); document.write( "--------------------------------------
\n" ); document.write( "The difference in their age will always be 50 years, so:
\n" ); document.write( "(1) $\"+a+-+b+=+50+\"$
\n" ); document.write( "(2) $\"+a+=+4b+%2B+2+\"$
\n" ); document.write( "-------------------
\n" ); document.write( "(1) $\"+a+=+b+%2B+50+\"$
\n" ); document.write( "Substitute this into (2)
\n" ); document.write( "(2) $\"+b+%2B+50+=+4b+%2B+2+\"$
\n" ); document.write( "(2) $\"+3b+=+48+\"$
\n" ); document.write( "(2) $\"+b+=+16+\"$
\n" ); document.write( "The grand daughter is 16
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+a+=+b+%2B+50+\"$
\n" ); document.write( "(1) $\"+a+=+66+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+a+=+4b+%2B+2+\"$
\n" ); document.write( "(2) $\"+66+=+4%2A16+%2B+2+\"$
\n" ); document.write( "(2) $\"+66+=+64+%2B+2+\"$
\n" ); document.write( "(2) $\"+66+=+66+\"$
\n" ); document.write( "OK \n" ); document.write( "

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