document.write( "Question 931197: the sum of ages of a man,his wife and his son is 85 years. the man is 5 years less than the sum of the ages of his wife and son. before his son was born the man was 6/5 as old as his wife. find the age of the wife \n" ); document.write( "
Algebra.Com's Answer #565481 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! the sum of ages of a man,his wife and his son is 85 years. the man is 5 years less than the sum of the ages of his wife and son. before his son was born the man was 6/5 as old as his wife. find the age of the wife \n" ); document.write( "-------------- \n" ); document.write( "Equations: \n" ); document.write( "m + w + s = 85 \n" ); document.write( "m = w + s - 5 \n" ); document.write( "m = (6/5)w \n" ); document.write( "------ \n" ); document.write( "Using the 1st 2 equations: \n" ); document.write( "m + w + s = 85 \n" ); document.write( "m - w - s = -5 \n" ); document.write( "---- \n" ); document.write( "2m = 80 \n" ); document.write( "m = 40 (the man's age is 40 but we don't kow when) \n" ); document.write( "---- \n" ); document.write( "When the son was 0, m = (6/5)w \n" ); document.write( "w = (5/6)40 \n" ); document.write( "w = 200/6 = 33 1/3 (wife's age at time of son's birth if the father was 40) \n" ); document.write( "---- \n" ); document.write( "Comment:: Too many \"ifs\" in this question. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "-------- \n" ); document.write( " |