document.write( "Question 341302: The present age of father exceeds 3 times the present age of his son by 2 years. six years ago, the age of the father exceeded 4 times the age of the son by 4 years. Find the present age of the son and father. \n" ); document.write( "
Algebra.Com's Answer #244582 by ankor@dixie-net.com(22740)\"\" \"About 
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The present age of father exceeds 3 times the present age of his son by 2 years.
\n" ); document.write( " six years ago, the age of the father exceeded 4 times the age of the son by 4 years.
\n" ); document.write( " Find the present age of the son and father.
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\n" ); document.write( "let f = father's present age
\n" ); document.write( "let s = son's present age
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\n" ); document.write( "Write an equation for each statement:
\n" ); document.write( ":
\n" ); document.write( "\"The present age of father exceeds 3 times the present age of his son by 2 years.\"
\n" ); document.write( "f = 3s + 2
\n" ); document.write( ":
\n" ); document.write( "\" six years ago, the age of the father exceeded 4 times the age of the son by 4 years.\"
\n" ); document.write( "f - 6 = 4(s-6) + 4
\n" ); document.write( "f - 6 = 4s - 24 + 4
\n" ); document.write( "f - 6 = 4s - 20
\n" ); document.write( "f = 4s - 20 + 6
\n" ); document.write( "f = 4s - 14
\n" ); document.write( "replace f with (3s+2) from the 1st statement:
\n" ); document.write( "3s + 2 = 4s - 14
\n" ); document.write( "2 + 14 = 4s - 3s
\n" ); document.write( "16 = s
\n" ); document.write( "son is 16 yrs old
\n" ); document.write( "then
\n" ); document.write( "f = 3(16) + 2
\n" ); document.write( "f = 48 + 2
\n" ); document.write( "f = 50 yrs is the father's age
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\n" ); document.write( "Check solution in the 2nd statement:
\n" ); document.write( "\" six years ago, the age of the father exceeded 4 times the age of the son by 4 years.\"
\n" ); document.write( "50 - 6 = 4(16 - 6) + 4
\n" ); document.write( "44 = 4(10) + 4; confirms our solutions
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