document.write( "Question 90048: If Leah is 6 years older than her sister, Sue, and John is 5 years older than Leah, and the total of their ages is 41. Then how old is Sue? \n" ); document.write( "
Algebra.Com's Answer #65516 by ankor@dixie-net.com(22740)\"\" \"About 
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Write an equation from each statement:
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\n" ); document.write( "If Leah is 6 years older than her sister, Sue.
\n" ); document.write( "L = S + 6
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\n" ); document.write( "John is 5 years older than Leah,
\n" ); document.write( "J = L + 5
\n" ); document.write( "Substitute (S+6) for L and you have:
\n" ); document.write( "J = (S+6) + 5
\n" ); document.write( "J = S + 11
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\n" ); document.write( "the total of their ages is 41.
\n" ); document.write( "L + S + J = 41
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\n" ); document.write( "Then how old is Sue?
\n" ); document.write( "Substitute (S+5) for L and (S+11) for J in the above equation:
\n" ); document.write( "(S+6) + S + (S+11) = 41
\n" ); document.write( "3S + 17 = 41
\n" ); document.write( "3S = 41 - 17
\n" ); document.write( "3S = 24
\n" ); document.write( "S = 24/3
\n" ); document.write( "S = 8 yrs is Sue's age
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\n" ); document.write( "Check:
\n" ); document.write( "L = 8 + 6 = 14
\n" ); document.write( "J = 8 + 11 = 19
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\n" ); document.write( "L + S + J = 41
\n" ); document.write( "14 + 8 + 19 = 41
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\n" ); document.write( "Did this make sense to you? Any questions?
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