document.write( "Question 1204869: Lana is the oldest of four sisters. Her youngest sister is half her age. The other two sisters are twins 2 years younger than Lana. When the four sisters' ages are added together, the result is 45. If the youngest sister is n years old, what is n? \n" ); document.write( "
Algebra.Com's Answer #841405 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Lana is the oldest of four sisters. Her youngest sister is half her age. The other two sisters are twins 2 years younger than Lana. When the four sisters' ages are added together, the result is 45. If the youngest sister is n years old, what is n?\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let youngest sister be n years old\r \n" ); document.write( "\n" ); document.write( "Lana is twice the youngest sister's age. =2n\r \n" ); document.write( "\n" ); document.write( " The other two sisters are twins 2 years younger than Lana. \n" ); document.write( "The age of the twins is (2n-2) years\r \n" ); document.write( "\n" ); document.write( " When the four sisters' ages are added together, the result is 45.\r \n" ); document.write( "\n" ); document.write( "n+2n +2*(2n-2)=45\r \n" ); document.write( "\n" ); document.write( "n+2n +4n-4=45\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7n -4=45\r \n" ); document.write( "\n" ); document.write( "7n = 49\r \n" ); document.write( "\n" ); document.write( "n =49/7 = 7\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "14+12+12+7 =45\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |