document.write( "Question 613077: Sarah and Jill are sisters. Sarah is one year older than four times jill's age. The sum of their ages is 13 1/2. How old are Sarah and Jill? \n" ); document.write( "

Algebra.Com's Answer #385875 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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s = S's age
\n" ); document.write( "j = J's age
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\n" ); document.write( "Write an equation for each statement:
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\n" ); document.write( "Sarah is one year older than four times Jill's age.
\n" ); document.write( "s = 4j + 1
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\n" ); document.write( "The sum of their ages is 13 1/2.
\n" ); document.write( "s + j = 13 $\"1%2F2\"$
\n" ); document.write( "Replace s with (4j+1)
\n" ); document.write( "4j + 1 + j = 13 $\"1%2F2\"$
\n" ); document.write( "4j + j = 13 $\"1%2F2\"$ - 1
\n" ); document.write( "5j = 12 $\"1%2F2\"$
\n" ); document.write( "Let use decimals here
\n" ); document.write( "5j = 12.5
\n" ); document.write( "Multiply both sides by $\"1%2F5\"$ } which is .2
\n" ); document.write( ".2(5j) = .2 * 12.5
\n" ); document.write( "j = 2.5 age is J's age
\n" ); document.write( "then
\n" ); document.write( "s = 4(2.5) + 1
\n" ); document.write( "s = 10 + 1
\n" ); document.write( "s = 11 yrs is S's age\r
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