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)![]() ![]() You can put this solution on YOUR website! Let x be the daughter's age. \n" ); document.write( "We know that Dad is x + 32. \n" ); document.write( ". \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). \n" ); document.write( ". \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. \n" ); document.write( " |