document.write( "Question 164140: Nicole is 72 years younger than 2 times Cathy's age. Maria is 144 years younger than 3 times Cathy's age. In 6 years Nicole will be 40. In six years how old will Maria be? \n" ); document.write( "
Algebra.Com's Answer #120953 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Let, N, C, M, be their ages now \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( ": \n" ); document.write( "Nicole is 72 years younger than 2 times Cathy's age. \n" ); document.write( "N = 2C - 72 \n" ); document.write( ": \n" ); document.write( " Maria is 144 years younger than 3 times Cathy's age. \n" ); document.write( "M = 3C - 144 \n" ); document.write( "; \n" ); document.write( " In 6 years Nicole will be 40. In six years how old will Maria be? \n" ); document.write( "N + 6 = 40 \n" ); document.write( "N = 40 - 6 \n" ); document.write( "N = 34 yrs now \n" ); document.write( ": \n" ); document.write( "Substitute 34 for N in the 1st equation, find C \n" ); document.write( "2C - 72 = 34 \n" ); document.write( "2c = 34 + 72 \n" ); document.write( "2C = 106 \n" ); document.write( "C = \n" ); document.write( "C = 53 is C's age now \n" ); document.write( ": \n" ); document.write( "Using the 2nd equation, substitute 53 for C and find M \n" ); document.write( "M = 3(53) - 144 \n" ); document.write( "M = 159 - 144 \n" ); document.write( "M = 15 yrs is M's age now and in six yrs she will be 21 yrs\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |