document.write( "Question 461939: If the sum of a fathers and sons age is 53, and the son is 25 years younger then the dad how old is the son \n" ); document.write( "
Algebra.Com's Answer #316709 by math-vortex(648)![]() ![]() You can put this solution on YOUR website! If the sum of a fathers and sons age is 53, and the son is 25 years younger then the dad how old is the son. \n" ); document.write( "================== \n" ); document.write( "Let \n" ); document.write( "f = age of the father \n" ); document.write( ". \n" ); document.write( "If the son is 25 years younger than the father, then an algebraic expression for the son's age is f - 25. \n" ); document.write( ". \n" ); document.write( "We know that the father's age and the son's age add up to 53. In algebra, we write that as \n" ); document.write( "f + (f - 25) = 53 \n" ); document.write( ". \n" ); document.write( "Now we just solve this equation for f. \n" ); document.write( "2f - 25 = 53 \n" ); document.write( "2f = 53 + 25 \n" ); document.write( "2f = 78 \n" ); document.write( "f = 78/2 \n" ); document.write( "f = 39 \n" ); document.write( ". \n" ); document.write( "So the father is 39 years old. Since the son is 25 years younger, the son is 39 - 25 = 14 years old. \n" ); document.write( ". \n" ); document.write( "Checking, we see that their ages add up to 53 because 14 + 39 = 53. \n" ); document.write( "Bingo! \n" ); document.write( ". \n" ); document.write( "Hope this helps! \n" ); document.write( ". \n" ); document.write( "Ms.Figgy \n" ); document.write( "math.in.the.vortex\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |