document.write( "Question 83568: Three years back the age of a father was 24 years more than his son. At present the father is 5 times as old as the son. How old will the son be three years from now? \n" ); document.write( "
Algebra.Com's Answer #60094 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Three years back the age of a father was 24 years more than his son. At present the father is 5 times as old as the son. How old will the son be three years from now? \n" ); document.write( ": \n" ); document.write( "Actually the Father will always be 24 yrs older than his son, 3 years ago or anytime. but here is a method, \n" ); document.write( ": \n" ); document.write( "Let F = father's age now; S = son's age now \n" ); document.write( ": \n" ); document.write( "Three years ago: \n" ); document.write( "father: (F-3) \n" ); document.write( "son: (S-3) \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( "\"Three years back the age of a father was 24 years more than his son.\" \n" ); document.write( "(F-3) = (S-3) + 24 \n" ); document.write( "Simplify \n" ); document.write( "F - 3 = S - 3 + 24 \n" ); document.write( "F - 3 = S + 21 \n" ); document.write( "F = S + 21 + 3 \n" ); document.write( "F = S + 24; use for substitution in the next equation \n" ); document.write( ": \n" ); document.write( "\"At present the father is 5 times as old as the son.\" \n" ); document.write( "F = 5S \n" ); document.write( "Substitute (S+24) for F \n" ); document.write( "S + 24 = 5S \n" ); document.write( "24 = 5S - S \n" ); document.write( "24 = 4S \n" ); document.write( "S = 24/4 \n" ); document.write( "S = 6 yrs old now \n" ); document.write( ": \n" ); document.write( " How old will the son be three years from now? \n" ); document.write( "Son: 6 + 3 = 9 yrs old \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check: (Father's age now is 30) \n" ); document.write( "At present the father is 5 times as old as the son. \n" ); document.write( "5*6 = 30 \n" ); document.write( ": \n" ); document.write( "Hope this made sense to you on this fine Memorial Day! \n" ); document.write( " |