document.write( "Question 522621: sally is four times as old her niece and in three years she will be 3 times as old as her niece, how old are they now? \n" ); document.write( "

Algebra.Com's Answer #346927 by Maths68(1474) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let
\n" ); document.write( "Present age of Sally = s
\n" ); document.write( "Present age of Niece = n\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Sally is four times as old her Niece
\n" ); document.write( "s=4n.............(1)
\n" ); document.write( "In three years
\n" ); document.write( "Sally will be = s+3
\n" ); document.write( "Niece will be = n+3
\n" ); document.write( "Then, Sally will be 3 times as old as her niece
\n" ); document.write( "s+3=3(n+3)
\n" ); document.write( "s+3=3n+9
\n" ); document.write( "s=3n+9-3
\n" ); document.write( "s=3n+6 ..............(2)\r
\n" ); document.write( "\n" ); document.write( "Put the value of s from (1) to (2)
\n" ); document.write( "4n=3n+6
\n" ); document.write( "4n-3n=6
\n" ); document.write( "n=6\r
\n" ); document.write( "\n" ); document.write( "Put the value of n in (1)\r
\n" ); document.write( "\n" ); document.write( "s=4n
\n" ); document.write( "s=4*6
\n" ); document.write( "s=24\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Present age of Sally = s= 24 years old
\n" ); document.write( "Present age of Niece = n = 6 years old
\n" ); document.write( " \n" ); document.write( "

\n" );