document.write( "Question 1007732: six years ago the ratio of kunal and sagar age was 6:5,hence 4 years later the ratio becomes 11:10.Then find the present age of kunal? \n" ); document.write( "

Algebra.Com's Answer #623638 by fractalier(6550) $\"\"$ $\"About$

You can put this solution on YOUR website!
We can solve this using two proportions, which will give us two equations to solve from...we have (using k and s for their ages NOW)...
\n" ); document.write( " $\"%28k-6%29%2F%28s-6%29+=+6%2F5\"$ and $\"%28k%2B4%29+%2F+%28s%2B4%29+=+11%2F10\"$
\n" ); document.write( "If we cross-multiply these we get
\n" ); document.write( "5(k-6) = 6(s-6)
\n" ); document.write( "5k - 30 = 6s - 36
\n" ); document.write( "5k - 6s = -6
\n" ); document.write( "and
\n" ); document.write( "10(k+4) = 11(s+4)
\n" ); document.write( "10k + 40 = 11s + 44
\n" ); document.write( "10k - 11s = 4
\n" ); document.write( "Double the first one and subtract
\n" ); document.write( "10k - 11s = 4
\n" ); document.write( "-(10k - 12s = -12)
\n" ); document.write( "----------------
\n" ); document.write( "s = 16
\n" ); document.write( "k = 18 \n" ); document.write( "

\n" );