document.write( "Question 152228: The present age of a 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 ages of the son and the father. \n" ); document.write( "
Algebra.Com's Answer #111893 by nerdybill(7384)\"\" \"About 
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The present age of a 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 ages of the son and the father.
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\n" ); document.write( "Let F = present age of father
\n" ); document.write( "and S = present age of son
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\n" ); document.write( "Since we have two unknowns we'll need to find two equations.
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\n" ); document.write( "From:\"The present age of a father exceeds 3 times the present age of his son by 2 years. \" we get equation 1:
\n" ); document.write( "F = 3S + 2
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\n" ); document.write( "From:\"Six years ago, the age of the father exceeded 4 times the age of the son by 4 years.\" we get equation 2:
\n" ); document.write( "F-6 = 4(S-6) + 4
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\n" ); document.write( "Using the value of F from equation 1, substitute it into equation 2 and solve for S:
\n" ); document.write( "F-6 = 4(S-6) + 4
\n" ); document.write( "(3S + 2)-6 = 4S - 24 + 4
\n" ); document.write( "3S + 2 -6 = 4S - 24 + 4
\n" ); document.write( "3S - 4 = 4S - 20
\n" ); document.write( "-4 = S - 20
\n" ); document.write( "16 years = S (age of son)
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\n" ); document.write( "Use the above, and substitute it into equation 1 and solve for F:
\n" ); document.write( "F = 3S + 2 = 3(16) + 2 = 50 years (age of father)\r
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