document.write( "Question 1132202: Four members of one family have a combined age of 135 years.\r
\n" ); document.write( "\n" ); document.write( "Jeff is twice as old as his daughter Ann, while Trudy is 5 years younger than her husband, Jeff.\r
\n" ); document.write( "\n" ); document.write( "Harry is a third of his mother Trudy's age.\r
\n" ); document.write( "\n" ); document.write( "How old are each of the four members of this family?
\n" ); document.write( "

Algebra.Com's Answer #749160 by ankor@dixie-net.com(22740)\"\" \"About 
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Four members of one family have a combined age of 135 years.
\n" ); document.write( "j + a + t + h = 135
\n" ); document.write( " Jeff is twice as old as his daughter Ann,
\n" ); document.write( "j = 2a
\n" ); document.write( " while Trudy is 5 years younger than her husband, Jeff.
\n" ); document.write( "j = t + 5
\n" ); document.write( " Harry is a third of his mother Trudy's age.
\n" ); document.write( "h = \"1%2F3\"t
\n" ); document.write( ":
\n" ); document.write( "In the 2nd equation replace j with (t+5)
\n" ); document.write( "t + 5 = 2a
\n" ); document.write( "a = \"%28t%2B5%29%2F2\"
\n" ); document.write( ":
\n" ); document.write( "In the first equation replace in j + a + t + h = 135
\n" ); document.write( "j = (t+5)
\n" ); document.write( "a = \"%28t%2B5%29%2F2\"
\n" ); document.write( "h = \"1%2F3\"t
\n" ); document.write( "(t+5) + \"%28t%2B5%29%2F2\" + t + \"1%2F3\"t = 135
\n" ); document.write( "Multiply by 6 cancel the denominators
\n" ); document.write( "6(t+5) + 3(t+5) + 6t + 2t = 6(135)
\n" ); document.write( "6t + 30 + 3t + 15 + 6t + 2t = 810
\n" ); document.write( "17t + 45 = 810
\n" ); document.write( "17t = 810 - 45
\n" ); document.write( "17t = 765
\n" ); document.write( "t = 45 yrs is Trudy's age
\n" ); document.write( ":
\n" ); document.write( " How old are each of the four members of this family?
\n" ); document.write( "j = 45 + 5
\n" ); document.write( "j = 50 yrs is Jeff's age
\n" ); document.write( ":
\n" ); document.write( "a = 50/2
\n" ); document.write( "a = 25 is Ann's age
\n" ); document.write( "and
\n" ); document.write( "h = \"1%2F3\"(45)
\n" ); document.write( "h = 15 yrs is Harry's age
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "check 50 + 45 + 25 + 15 = 135
\n" ); document.write( "
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