document.write( "Question 310264: Grandpa: \"My grandson is about as many days as my son is weeks, and my grandson is as many months as I am in years. My grandson, my son and I together are 120 years. Can you tell me my age in years?\" \n" ); document.write( "
Algebra.Com's Answer #221900 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! \"My grandson is about as many days as my son is weeks, and my grandson is as many months as I am in years. My grandson, my son and I together are 120 years. Can you tell me my age in years?\" \n" ); document.write( ": \n" ); document.write( "g = grandson's age \n" ); document.write( "s = son's age \n" ); document.write( "m = my age \n" ); document.write( ": \n" ); document.write( "\"My grandson is about as many days as my son is weeks,\" \n" ); document.write( "s = 7g \n" ); document.write( ": \n" ); document.write( " my grandson is as many months as I am in years. \n" ); document.write( "m = 12g \n" ); document.write( ": \n" ); document.write( "g + s + m = 120 \n" ); document.write( "Substitute for m and s \n" ); document.write( "g + 7g + 12g = 120 \n" ); document.write( "20g = 120 \n" ); document.write( "g = \n" ); document.write( "g = 6 yrs is grandson's age \n" ); document.write( "then \n" ); document.write( "s = 7(6) = 42 yrs is son's age \n" ); document.write( "and \n" ); document.write( "m = 12(6) = 72 yrs is my age \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "See if we can prove this: \n" ); document.write( "\"My grandson is about as many days as my son is weeks,\" a \n" ); document.write( "g: 6*365 = 2190 days \n" ); document.write( "s: 42*52 = 2184 days, that's why they said \"about\" \n" ); document.write( ": \n" ); document.write( "\"my grandson is as many months as I am in years.\" \n" ); document.write( "g: 12*6 = 72 months\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |