document.write( "Question 636780: Two years hence, John's mother will be twice his age.Five years hence his father will be thrice his present age.What is the difference between the ages of his parents,if the sum of all the three ages is 105? \n" ); document.write( "
Algebra.Com's Answer #401245 by ankor@dixie-net.com(22740)\"\" \"About 
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Two years hence, John's mother will be twice his age.
\n" ); document.write( "Five years hence his father will be thrice his present age.
\n" ); document.write( "What is the difference between the ages of his parents,if the sum of all the
\n" ); document.write( " three ages is 105?
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\n" ); document.write( "let j = John's present age
\n" ); document.write( "let m = mother's present age
\n" ); document.write( "let f = father's present age
\n" ); document.write( ":
\n" ); document.write( "write an equation for each statement:
\n" ); document.write( ":
\n" ); document.write( "\" Two years hence, John's mother will be twice his age.\"
\n" ); document.write( "m + 2 = 2(j+2)
\n" ); document.write( "m + 2 = 2j + 4
\n" ); document.write( "m = 2j + 4 - 2
\n" ); document.write( "m = 2j + 2
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\n" ); document.write( "\"Five years hence his father will be thrice his present age.\"
\n" ); document.write( "Note that it says \"PRESENT AGE\"
\n" ); document.write( "f + 5 = 3j
\n" ); document.write( "f = 3j - 5
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\n" ); document.write( "\"the sum of all the three ages is 105?\"
\n" ); document.write( "j + m + f = 105
\n" ); document.write( "replace m with (2j+2); replace f with (3j-5)
\n" ); document.write( "j + (2j+2) + (3j-5) = 105
\n" ); document.write( "6j - 3 = 105
\n" ); document.write( "6j = 105 + 3
\n" ); document.write( "6j = 108
\n" ); document.write( "j = 108/6
\n" ); document.write( "j = 18 is John's present age
\n" ); document.write( "then
\n" ); document.write( "f = 3(18)-5
\n" ); document.write( "f = 49 yrs is Father's age
\n" ); document.write( "and
\n" ); document.write( "m = 2(18) + 2
\n" ); document.write( "m = 38 is Mother's age
\n" ); document.write( ":
\n" ); document.write( "\"What is the difference between the ages of his parents,\"
\n" ); document.write( "49 - 38 = 11 yrs, probably a story here.
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\n" ); document.write( ":
\n" ); document.write( "Check this
\n" ); document.write( "18 + 38 + 49 = 105 \n" ); document.write( "
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