document.write( "Question 556802: in a family mother's age is twice that of daughters age father is 10 years older than mother. brother is 20 years younger than mother and 5 years older than his sister. what is fathers age. \n" ); document.write( "
Algebra.Com's Answer #362350 by ankor@dixie-net.com(22740)\"\" \"About 
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Let f = father's age
\n" ); document.write( "Let m = mother's age
\n" ); document.write( "Let d = daughter's (sister) age
\n" ); document.write( "Let s = son's (brother) age
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement
\n" ); document.write( ":
\n" ); document.write( "\"mother's age is twice that of daughters age\"
\n" ); document.write( "m = 2d
\n" ); document.write( ":
\n" ); document.write( "\"father is 10 years older than mother.\"
\n" ); document.write( "f = m + 10
\n" ); document.write( ":
\n" ); document.write( "rearrange the next two equations for elimination.
\n" ); document.write( "\"brother is 20 years younger than mother\"
\n" ); document.write( "s = m - 20
\n" ); document.write( "replace m with 2d and you have
\n" ); document.write( "s = 2d - 20
\n" ); document.write( "s - 2d = -20
\n" ); document.write( "multiply by -1
\n" ); document.write( "-s + 2d = 20
\n" ); document.write( ":
\n" ); document.write( "\"and 5 years older than his sister. \"
\n" ); document.write( "s = d + 5
\n" ); document.write( "s - d = 5
\n" ); document.write( ";
\n" ); document.write( "Use these two equation for elimination
\n" ); document.write( "-s + 2d = 20
\n" ); document.write( " s - d = 5
\n" ); document.write( "--------------addition eliminates s, find d
\n" ); document.write( "d = 25 is daughter's age
\n" ); document.write( ":
\n" ); document.write( "we know m = 2d
\n" ); document.write( "m = 2(25)
\n" ); document.write( "m = 50 yrs is Mom's age
\n" ); document.write( "then
\n" ); document.write( "f = m + 10
\n" ); document.write( "f = 50 + 10
\n" ); document.write( "f = 60 yrs is father's age, which is what they want\r
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