document.write( "Question 33130: Annilee's present age is 2/3 of Jessie's present age. In 8 years the sum of their ages will be 61 years. Find their present ages. \n" ); document.write( "
Algebra.Com's Answer #19546 by priya(51)![]() ![]() ![]() You can put this solution on YOUR website! First try to form equation with the informations given in the question.\r \n" ); document.write( "\n" ); document.write( " let A be Annilee's present age and J be Jessie's present age. \n" ); document.write( "so eq 1. A = 2/3 (J) (PRESENT AGE)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " eq 2. In 8 yrs ,sum of the 2 girls ages = 61,that is written as \n" ); document.write( " (A +8) + (J + 8) = 61.(AFTER 8 YEARS) \n" ); document.write( "SIMPLIFYING this we get,\r \n" ); document.write( "\n" ); document.write( " A + J + 16 =61 \n" ); document.write( " A + J = 61-16 \n" ); document.write( " this is the NEW eq 2. A + J = 45 \n" ); document.write( " \n" ); document.write( "SUSTITUTE THE VALUE OF A as \"2/3 (J)\" in NEW eq 2 (from eq1).\r \n" ); document.write( "\n" ); document.write( "therefore the NEW eq 2. becomes,\r \n" ); document.write( "\n" ); document.write( "(2/3)*J + J =45\r \n" ); document.write( "\n" ); document.write( " (2J +3J )/3 = 45 \n" ); document.write( " 5J = 45 *3\r \n" ); document.write( "\n" ); document.write( " THEREFORE J = 135/5 \n" ); document.write( " = 27 . \n" ); document.write( "if J = 27, A = 2/3(27)( from eq.1)\r \n" ); document.write( "\n" ); document.write( " = 18. \n" ); document.write( "Jessie's age is 27 years and Annilee's age is 18 years..\r \n" ); document.write( "\n" ); document.write( "WANT TO LEARN MORE..VISIT MY SITE \n" ); document.write( " |