document.write( "Question 213062: Henry is ten more than two times as old as Cheryl. In 20 years the sum of their ages will be 92. How old is Cheryl now? \n" ); document.write( "
Algebra.Com's Answer #160953 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Let h = Henry's present age \n" ); document.write( "Let c = Cheryl's present age \n" ); document.write( "; \n" ); document.write( "Write an equation for each statement: \n" ); document.write( ": \n" ); document.write( "Henry is ten more than two times as old as Cheryl. \n" ); document.write( "h = 2c + 10 \n" ); document.write( ": \n" ); document.write( " In 20 years the sum of their ages will be 92.\r \n" ); document.write( "\n" ); document.write( "(h+20) + (c+20) = 92 \n" ); document.write( "h + c + 40 = 92 \n" ); document.write( "h + c = 92 - 40 \n" ); document.write( "h + c = 52 \n" ); document.write( ": \n" ); document.write( " How old is Cheryl now? \n" ); document.write( ": \n" ); document.write( "Replace h with (2c+10) \n" ); document.write( "2c + 10 + c = 52 \n" ); document.write( "2c + c = 52 - 10 \n" ); document.write( "3c = 42 \n" ); document.write( "c = \n" ); document.write( "c = 14 yrs is Cheryl's present age \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check solution: \n" ); document.write( "Find h: h + 14 = 52; h = 38 \n" ); document.write( "Check solution in the statement: \n" ); document.write( "\"In 20 years the sum of their ages will be 92.\" \n" ); document.write( "38 + 20 + 14 + 20 = 92 \n" ); document.write( " |