document.write( "Question 113877: Ana is 24 years older than twice the age of her younger sister. In ten years, their combined ages will be 110 years. How old are they now? \n" ); document.write( "
Algebra.Com's Answer #82975 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Write an expression/equation for what it says: \n" ); document.write( ": \n" ); document.write( "Ana is 24 years older than twice the age of her younger sister. \n" ); document.write( "A = 2S + 24 \n" ); document.write( ": \n" ); document.write( " In ten years, their ages: \n" ); document.write( "(A + 10) \n" ); document.write( "and \n" ); document.write( "(S+10) \n" ); document.write( ": \n" ); document.write( "In 10 years their combined ages will be 110 years. \n" ); document.write( "(A+10) + (S+10) = 110 \n" ); document.write( "A + 10 = 110 - S - 10 \n" ); document.write( "A = 110 - S - 10 - 10 \n" ); document.write( "A = 90 - S \n" ); document.write( ": \n" ); document.write( "(How old are they now? \n" ); document.write( "From the 1st equation, substitute (2S+24)for A in the above equation: \n" ); document.write( "2S + 24 = 90 - S \n" ); document.write( "2s + S = 90 - 24 \n" ); document.write( "3s = 66 \n" ); document.write( "S = 66/3 \n" ); document.write( "S = 22 yrs is the sisters age \n" ); document.write( ": \n" ); document.write( "A = 2S + 24 \n" ); document.write( "A = 2(22) + 24 \n" ); document.write( "A = 44 + 24 \n" ); document.write( "A = 68 yrs is Ana's age \n" ); document.write( ": \n" ); document.write( "Check solution using the statement: \n" ); document.write( "\"In ten years, their combined ages will be 110 years\" \n" ); document.write( "(68 + 10) + (22 + 10) = 110 \n" ); document.write( ": \n" ); document.write( "Could follow this OK? Any questions? \n" ); document.write( " |