document.write( "Question 899667: Chris is ten years older than his sister, Alice. Chris is also twice as old as his brother, Greg. How old is Chris if the sum of all three of their ages is 50? \n" ); document.write( "
Algebra.Com's Answer #545547 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Let a = Sister's age \n" ); document.write( "Let c = C's age \n" ); document.write( "Let g = brother's age \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement rearrange for substitution in the last equation:\r \n" ); document.write( "\n" ); document.write( "Chris is ten years older than his sister, Alice. \n" ); document.write( "c = a + 10 \n" ); document.write( "a = c - 10 \n" ); document.write( " Chris is also twice as old as his brother, Greg. \n" ); document.write( "c = 2g \n" ); document.write( "g = .5c \n" ); document.write( " How old is Chris if the sum of all three of their ages is 50? \n" ); document.write( "a + c + g = 50 \n" ); document.write( "replace a and g \n" ); document.write( "(c-10) + c + .5c = 50 \n" ); document.write( "2.5c = 50 + 10 \n" ); document.write( "c = 60/2.5 \n" ); document.write( "c = 24 yrs old is C's age \n" ); document.write( "then \n" ); document.write( "a = 24 - 10 \n" ); document.write( "a = 14 yrs is A's age \n" ); document.write( "and \n" ); document.write( ".5(24) = 12 yrs is G's age \n" ); document.write( ": \n" ); document.write( "Note these add up to 50 \n" ); document.write( " \n" ); document.write( " |