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)\"\" \"About 
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( "
\n" );