document.write( "Question 515636: two years ago father was 3 times as old as his son and 2 year hence,twice his age will be equal to 5 times that of his son find present age ? \n" ); document.write( "
Algebra.Com's Answer #344102 by Maths68(1474)\"\" \"About 
You can put this solution on YOUR website!
Let
\n" ); document.write( "Present age of Father = f
\n" ); document.write( "Present age of Son = s\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Two years ago
\n" ); document.write( "f-2=s-2
\n" ); document.write( "Father was 3 times as old as his son
\n" ); document.write( "f-2=3(s-2)
\n" ); document.write( "f-2=3s-6
\n" ); document.write( "f=3s-6+2
\n" ); document.write( "f=3s-4............(1)
\n" ); document.write( "and 2 year hence,
\n" ); document.write( "f+2=s+2
\n" ); document.write( "then twice his age will be equal to 5 times that of his son
\n" ); document.write( "2(f+2)=5(s+2)
\n" ); document.write( "2f+4=5s+10
\n" ); document.write( "2f=5s+10-4
\n" ); document.write( "2f=5s+6.............(2)
\n" ); document.write( "Put the value of f in (2) from (1)
\n" ); document.write( "2(3s-4)=5s+6
\n" ); document.write( "6s-8=5s+6
\n" ); document.write( "6s-5s=6+8
\n" ); document.write( "s=14
\n" ); document.write( "Put the value of s in (1)
\n" ); document.write( "f=3s-4............(1)
\n" ); document.write( "f=3(14)-4
\n" ); document.write( "f=42-4
\n" ); document.write( "f=38\r
\n" ); document.write( "\n" ); document.write( "Present age of Father = f = 38 years old
\n" ); document.write( "Present age of Son = s = 14 years old\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );