document.write( "Question 521220: Leticia is 21 years older than Kate, in 2 years, Leticia will be twice as old as Kate. Find Leticia's and Katie's current age? \n" ); document.write( "
Algebra.Com's Answer #346452 by Maths68(1474)\"\" \"About 
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Let
\n" ); document.write( "Present age of Leticia = l
\n" ); document.write( "Present age of Kate = k\r
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\n" ); document.write( "\n" ); document.write( "Leticia is 21 years older than Kate
\n" ); document.write( "l=k+21................(1)\r
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\n" ); document.write( "\n" ); document.write( "In 2 years,
\n" ); document.write( "Leticia's age will be = l + 2
\n" ); document.write( "Kate's age will be = k + 2
\n" ); document.write( "Then,
\n" ); document.write( "Leticia will be twice as old as Kate.
\n" ); document.write( "l + 2 = 2 (k + 2)
\n" ); document.write( "l + 2 = 2k + 4
\n" ); document.write( "l = 2k + 4 - 2
\n" ); document.write( "l = 2k + 2 ..................(2)\r
\n" ); document.write( "\n" ); document.write( "Put the value of l from (1) to (2)
\n" ); document.write( "k + 21 = 2k + 2
\n" ); document.write( "k - 2k = 2 - 21
\n" ); document.write( "-k = -19
\n" ); document.write( "Multiply by -1 both sides
\n" ); document.write( "k = 19
\n" ); document.write( "Put the value of k in (1)
\n" ); document.write( "l=k+21
\n" ); document.write( "l=19+21
\n" ); document.write( "l = 40\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Present age of Leticia = l = 40 years old
\n" ); document.write( "Present age of Kate = k = 19 years old
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