document.write( "Question 265690: My granddaughter is as many days old as my daughter is weeks. My granddaughter is also as many months old as I am years. My granddaughter, my daughter and i have a combined age of 120 years. How old am i? \n" ); document.write( "

Algebra.Com's Answer #195365 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
My granddaughter is as many days old as my daughter is weeks.
\n" ); document.write( " My granddaughter is also as many months old as I am years.
\n" ); document.write( " My granddaughter, my daughter and i have a combined age of 120 years.
\n" ); document.write( " How old am I?
\n" ); document.write( ":
\n" ); document.write( "Let
\n" ); document.write( " d = age of granddaughter in days
\n" ); document.write( " d = age of daughter in weeks
\n" ); document.write( "From this we can say daughter is 7 times as old as granddaughter
\n" ); document.write( ":
\n" ); document.write( " m = age of granddaughter in months
\n" ); document.write( "7m = age of daughter in months
\n" ); document.write( " m = age of myself in years
\n" ); document.write( ":
\n" ); document.write( "change gr-daught and daugt ages from months to years, divide by 12
\n" ); document.write( ":
\n" ); document.write( " $\"m%2F12+%2B+%287m%29%2F12+%2B+m\"$ = 120
\n" ); document.write( "Multiply equation by 12
\n" ); document.write( ":
\n" ); document.write( "m + 7m + 12m = 12(120)
\n" ); document.write( "20m = 1440
\n" ); document.write( "m = 1440/20
\n" ); document.write( "m = 72 is my age
\n" ); document.write( ":
\n" ); document.write( "72/12 = 6 yrs is granddaughter
\n" ); document.write( "7(72)/12 = 42 yrs is daughter
\n" ); document.write( ":
\n" ); document.write( "Total: 6 + 42 + 72 = 120 \n" ); document.write( "

\n" );