document.write( "Question 500179: Annilee's present age is two-thirds of Jessie's present age. In 4 years the sum of their ages will be 73 years. Find their present ages. \n" ); document.write( "
Algebra.Com's Answer #338036 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Let \n" ); document.write( "Present age of Annilee=a \n" ); document.write( "Present age of Jessie=j \n" ); document.write( "Annilee's present age is two-thirds of Jessie's present age \n" ); document.write( "a= (2/3)j \n" ); document.write( "a=2j/3 ................(1) \n" ); document.write( "In 4 years means we have to add 4 in the present ages of both \n" ); document.write( "a+4=j+4 \n" ); document.write( "then \n" ); document.write( "the sum of their ages will be 73 years \n" ); document.write( "(a+4)+(j+4)=73 \n" ); document.write( "a+4+j+4=73 \n" ); document.write( "a+j+8=73 \n" ); document.write( "a+j=73-8 \n" ); document.write( "a+j=65..............(2)\r \n" ); document.write( "\n" ); document.write( "Put the value of a from (1) to (2) \n" ); document.write( "a+j=65 \n" ); document.write( "2j/3 + j = 65 \n" ); document.write( "Multiply by 3 both sides of above equation \n" ); document.write( "2j+3j=195 \n" ); document.write( "5j=195 \n" ); document.write( "Divide by 5 both sides of the equations \n" ); document.write( "5j/5=195/5 \n" ); document.write( "j=39\r \n" ); document.write( "\n" ); document.write( "Put the value of j in (1) \n" ); document.write( "a=2j/3 \n" ); document.write( "a=(2*39)/3 \n" ); document.write( "a=78/3 \n" ); document.write( "a=26 \n" ); document.write( "Present age of Annilee= 26 \n" ); document.write( "Present age of Jessie= 39 \n" ); document.write( " \n" ); document.write( " |