document.write( "Question 235582: Roland, Mark and Peter are 3 children in the same family. Peter is 3 times Marks age. In 2 years Peter will be twice the age Roland is at that time. Roland is 1 year older than Mark. How old are the children? \n" ); document.write( "
Algebra.Com's Answer #173535 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Roland, Mark and Peter are 3 children in the same family. \n" ); document.write( "Write an equation for each statement: \n" ); document.write( ": \n" ); document.write( " Peter is 3 times Marks age. \n" ); document.write( "p = 3m \n" ); document.write( ": \n" ); document.write( " In 2 years Peter will be twice the age Roland is at that time. \n" ); document.write( "p + 2 = 2(r+2) \n" ); document.write( "p + 2 = 2r + 4 \n" ); document.write( "p = 2r + 4 - 2 \n" ); document.write( "p = 2r + 2 \n" ); document.write( ": \n" ); document.write( " Roland is 1 year older than Mark. \n" ); document.write( "r = m + 1 \n" ); document.write( ": \n" ); document.write( " How old are the children? \n" ); document.write( ": \n" ); document.write( "In the second equation, replace p with 3m and r with m+1 \n" ); document.write( "p = 2r + 2 \n" ); document.write( "3m = 2(m+1) + 2 \n" ); document.write( "2m = 2m + 2 + 2 \n" ); document.write( "3m - 2m = 4 \n" ); document.write( "m = = 4 yrs is Marks age \n" ); document.write( "then \n" ); document.write( "r = m + 1 \n" ); document.write( "r = 4 + 1 \n" ); document.write( "r = 5 yrs is Roland's age \n" ); document.write( ": \n" ); document.write( "and \n" ); document.write( "p = 3m \n" ); document.write( "p = 3(4) \n" ); document.write( "p = 12 yrs is Peter's age \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution in the 2nd equation \n" ); document.write( "12 + 2 = 2(5+2) \n" ); document.write( " \n" ); document.write( " |