document.write( "Question 203209: Alex is 8 years younger than his sister. His mother is 6 years more than twice of his sister’s age. His mother is 42 years old. Find the ages of Alex and his sister. \n" ); document.write( "

Algebra.Com's Answer #153324 by jojo14344(1513) $\"\"$ $\"About$

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\n" ); document.write( "Note the following:\r
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\n" ); document.write( "\n" ); document.write( "Sister's Age = $\"x\"$ -----> A
\n" ); document.write( "Alex's Age = $\"x-8yrs\"$ --> B
\n" ); document.write( "Mother's Age = $\"6%2B2x\"$ --> C\r
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\n" ); document.write( "\n" ); document.write( "Since Mother's age is given = $\"42+yrs\"$ , we can equate to C.
\n" ); document.write( " $\"6%2B2x=42yrs\"$
\n" ); document.write( " $\"2x=42-6=36\"$ ---> $\"cross%282%29x%2Fcross%282%29=cross%2836%2918%2Fcross%282%29\"$
\n" ); document.write( " $\"red%28x=18yrs%29\"$ , Sister's Age\r
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\n" ); document.write( "\n" ); document.write( "Alex's Age= $\"highlight%2818%29-8=red%2810yrs%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "To check,
\n" ); document.write( "Mother's Age = $\"6%2B2%2818%29=6%2B36=red%2842yrs%29\"$ ---> twice Sister's age, $\"2%2A18=36yrs\"$ + 6, $\"36%2B6=42yrs\"$ \r
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\n" ); document.write( "\n" ); document.write( "Thank you.
\n" ); document.write( "Jojo\r
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