document.write( "Question 1046210: the sum of ages of a man peter, his wife, sarah and his son is 100,twice the age of the son is sarah,the man is 5 years older than his wife, find their ages. \n" ); document.write( "
Algebra.Com's Answer #661719 by ankor@dixie-net.com(22740)\"\" \"About 
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let m = man's age
\n" ); document.write( "let s = son's age
\n" ); document.write( "let w = wife's age
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\n" ); document.write( "write an equation for each statement
\n" ); document.write( ":
\n" ); document.write( "the sum of ages of a man peter, his wife, sarah and his son is 100,
\n" ); document.write( " m + s + w = 100
\n" ); document.write( ":
\n" ); document.write( "twice the age of the son is sarah,
\n" ); document.write( "2s = w
\n" ); document.write( "or divide both sides by 2 and you have:
\n" ); document.write( "s = .5w
\n" ); document.write( ":
\n" ); document.write( "the man is 5 years older than his wife,
\n" ); document.write( "m + w + 5
\n" ); document.write( ":
\n" ); document.write( "Using the first equation, replace m with (w+5); replace s with .5w
\n" ); document.write( "(w+5) + .5w + w = 100
\n" ); document.write( "2.5w = 100 - 5
\n" ); document.write( " 2.5w = 95
\n" ); document.write( " w = 95/2.5
\n" ); document.write( " w = 38 yrs is Sarah's age
\n" ); document.write( "then
\n" ); document.write( ".5(38) = 19 yr is Peter's age
\n" ); document.write( "and
\n" ); document.write( "38+5 = 43 yrs is the man's age
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\n" ); document.write( "See if that checks out
\n" ); document.write( "43 + 19 + 38 = 100\r
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