document.write( "Question 858924: A father has a son and a daughter. The father is five times old as the daughter and the son is 2 years older than the daughter. In 10 years, the sum of their three ages will be 81. How old are they now? \n" ); document.write( "
Algebra.Com's Answer #517505 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A father has a son and a daughter. \n" ); document.write( " The father is five times old as the daughter and the son is 2 years older than the daughter. \n" ); document.write( " In 10 years, the sum of their three ages will be 81. \n" ); document.write( " How old are they now? \n" ); document.write( ": \n" ); document.write( "let f = father's age \n" ); document.write( "let s = son's age \n" ); document.write( "let d = daughter's age \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( "\" The father is five times old as the daughter\" \n" ); document.write( "f = 5d \n" ); document.write( "\" and the son is 2 years older than the daughter.\" \n" ); document.write( "s = d + 2 \n" ); document.write( "\" In 10 years, the sum of their three ages will be 81. \" \n" ); document.write( "(f+10) + s+10) + (d+10) = 81 \n" ); document.write( "f + s + d + 30 = 81 \n" ); document.write( "f + s + d = 81 - 30 \n" ); document.write( "f + s + d = 51 \n" ); document.write( "Replace f with 5d, replace s with (d+2) \n" ); document.write( "5d + (d+2) + d = 51 \n" ); document.write( "7d = 51 - 2 \n" ); document.write( "d = 49/7 \n" ); document.write( "d = 7 yrs is the daughter's age \n" ); document.write( "' \n" ); document.write( "I'll let you find the ages of Dad and son, check by finding their sum in 10 yrs. \n" ); document.write( ": \n" ); document.write( "\" \n" ); document.write( " |