document.write( "Question 674014: at present,the sum of the ages of a father and his son is 43 years.In n years,n>0, the father will be four times the son age. Determine the possible age of the father and son?
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Algebra.Com's Answer #419010 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! at present,the sum of the ages of a father and his son is 43 years. \n" ); document.write( "f + s = 43 \n" ); document.write( "or \n" ); document.write( "f = (43-s) \n" ); document.write( ": \n" ); document.write( "we have three unknowns and only two equations here, but full steam ahead! \n" ); document.write( ": \n" ); document.write( "In n years,n>0, the father will be four times the son age. \n" ); document.write( "f + n = 4(s + n) \n" ); document.write( "f + n = 4s + 4n \n" ); document.write( "f = 4s + 4n - n \n" ); document.write( "f = 4s + 3n \n" ); document.write( "Replace f with (43-s) \n" ); document.write( "43 - s = 4s + 3n \n" ); document.write( "43 = 4s + s + 3n \n" ); document.write( "43 = 5s + 3n \n" ); document.write( "rearrange this \n" ); document.write( "-5s = 3n - 43 \n" ); document.write( "mult by -1 \n" ); document.write( "5s = -3n + 43 \n" ); document.write( "Here is a break, since we are dealing with integers, we can say \n" ); document.write( "\"What value for n would make the value on the right a multiple of 5?\" \n" ); document.write( "How about n = 1 \n" ); document.write( "5s = -3(1) + 43 \n" ); document.write( "5s = 40 \n" ); document.write( "s = 40/5 \n" ); document.write( "s = 8 yrs old is the son's age \n" ); document.write( "then Dad is 35 yrs old, right \n" ); document.write( ": \n" ); document.write( "In 1 yr, s=9: f=36, Dad is 4 times as old as sonny \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "But that is not the only solution, why don't you check it out when n = 6? \n" ); document.write( ": \n" ); document.write( "And how about when n=11? \n" ); document.write( ":\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |