document.write( "Question 533972: Tina is 3 years younger than Tom. The ages are in the ratio 2:3. Find their ages. \n" ); document.write( "

Algebra.Com's Answer #351396 by Maths68(1474) $\"\"$ $\"About$

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\n" ); document.write( "Let
\n" ); document.write( "Present age of Tina = t
\n" ); document.write( "Present age of Tom = m\r
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\n" ); document.write( "\n" ); document.write( "Tina is 3 years younger than Tom
\n" ); document.write( "t=m-3....(1)\r
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\n" ); document.write( "\n" ); document.write( "The ages are in the ratio 2:3
\n" ); document.write( "t/m=2/3
\n" ); document.write( "t=2m/3........(2)\r
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\n" ); document.write( "\n" ); document.write( "Plug in the value of t from (1) to (2)\r
\n" ); document.write( "\n" ); document.write( "2m/3=m-3
\n" ); document.write( "2m=3(m-3)
\n" ); document.write( "2m=3m-9
\n" ); document.write( "2m-3m=-9
\n" ); document.write( "-m=-9
\n" ); document.write( "Multiply by (-1) both sides
\n" ); document.write( "m=9
\n" ); document.write( "Plug in the value of m in (1)
\n" ); document.write( "t=m-3
\n" ); document.write( "t=9-3
\n" ); document.write( "t=6\r
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\n" ); document.write( "\n" ); document.write( "Present age of Tina = t = 6
\n" ); document.write( "Present age of Tom = m = 9
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