document.write( "Question 620303: Nina is 5 years younger than Fred. In 6 years, Nina will be three-fourths as old as Fred. How old is Fred now? \n" ); document.write( "
Algebra.Com's Answer #390076 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! Let \n" ); document.write( "Present age of Nina = n \n" ); document.write( "Present age of Fred = f\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Nina is 5 years younger than Fred. \n" ); document.write( "n=f-5.............(1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In 6 years, \n" ); document.write( "Nina will be = n+6 \n" ); document.write( "Fred will be = f+6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then\r \n" ); document.write( "\n" ); document.write( "Nina will be three-fourths as old as Fred\r \n" ); document.write( "\n" ); document.write( "(n+6)=3/4(f+6) \n" ); document.write( "4(n+6)=3(f+6) \n" ); document.write( "4n+24=3f+18 \n" ); document.write( "4n=3f+18-24 \n" ); document.write( "4n=3f-6....................(2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Substitute the value of n from (1) to (2) \n" ); document.write( "4(f-5)=3f-6 \n" ); document.write( "4f-20=3f-6 \n" ); document.write( "4f-3f=-6+20 \n" ); document.write( "f=14\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Substitute the value of f in (1) \n" ); document.write( "n=f-5 \n" ); document.write( "n=14-5 \n" ); document.write( "n=9\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Present age of Nina = n = 9 years old \n" ); document.write( "Present age of Fred = f = 14 years old\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check \n" ); document.write( "----- \n" ); document.write( "In 6 years Fred will be = 14+6 = 20 \n" ); document.write( "In 6 years Nina will be = 9+6 = 15 (which is 3/4 of 20, 20(3/4)=60/4=15)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |