document.write( "Question 179295: Mrs. Kwok is 6 years more than 3 times as old as her daughter. Eight years ago she was 2 years less than 9 times as old as her daughter was then. Find each of their ages. \n" ); document.write( "

Algebra.Com's Answer #134227 by MissionPossible(18) $\"\"$ $\"About$

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Mrs. Kwok's age = K
\n" ); document.write( "Her daughter's age = D
\n" ); document.write( "Mrs. Kwok is 6 years more than 3 times as old as her daughter.
\n" ); document.write( " K - 6 = 3D -------(1)\r
\n" ); document.write( "\n" ); document.write( "Eight years ago she was 2 years less than 9 times as old as her daughter was
\n" ); document.write( " (K-8)+ 2 = 9(D-8) --------(2)
\n" ); document.write( " K - 6 = 9D - 72 ---------(3)\r
\n" ); document.write( "\n" ); document.write( "K - 6 = 9D - 72 ---------(3)
\n" ); document.write( "K - 6 = 3D ---------(1)\r
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\n" ); document.write( "\n" ); document.write( "Eq(3) substract Eq(1)\r
\n" ); document.write( "\n" ); document.write( "0 = 6D - 72
\n" ); document.write( "6D = 72
\n" ); document.write( "D = 72/6 = 12\r
\n" ); document.write( "\n" ); document.write( "Eq(1) K - 6 = 3D ---------(1)
\n" ); document.write( " K - 6 = 3*12
\n" ); document.write( " K - 6 = 36
\n" ); document.write( " K = 36 + 6
\n" ); document.write( " K = 42\r
\n" ); document.write( "\n" ); document.write( "Mrs. Kwok's age = K = 42 years
\n" ); document.write( "Her daughter's age = D = 12 years Ans.\r
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