document.write( "Question 830214: father is 32 years older than the daughter. in 4 years he will be 5 times her age. What is the age of the father and daughter
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Algebra.Com's Answer #500416 by JulietG(1812)\"\" \"About 
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Let x be the daughter's age.
\n" ); document.write( "We know that Dad is x + 32.
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\n" ); document.write( "Jump ahead 4 years.
\n" ); document.write( "Now the daughter's age is x+4, and the Dad's age is x+36.
\n" ); document.write( "We're told that at this time, he is 5 times her age, so
\n" ); document.write( "5(x+4) = x+36
\n" ); document.write( "Distribute
\n" ); document.write( "5x+20 = x+36
\n" ); document.write( "Subtract 20 from each side:
\n" ); document.write( "5x = x+16
\n" ); document.write( "Subtract x from each side:
\n" ); document.write( "4x = 16
\n" ); document.write( "Divide by 4 on each side:
\n" ); document.write( "x = 4
\n" ); document.write( "If the daughter is 4, then Dad must be 36 (4+32).
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\n" ); document.write( "Let's check it to make certain by looking 4 years ahead. If the calculations are correct:
\n" ); document.write( "In 4 years, the daughter will be 8.
\n" ); document.write( "In 4 years, Dad will be 40.
\n" ); document.write( "40 is indeed 5 times 8.
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