document.write( "Question 511807: please i need the answer...\r
\n" );
document.write( "\n" );
document.write( "A man is 4 years older than his wife, and 5 times as old as his son. When the son was born, the age of the wife was 6/7 that of her husband's age. Find the age of each. \n" );
document.write( "
Algebra.Com's Answer #342526 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A man is 4 years older than his wife and 5 times as old as his son. \n" ); document.write( " When the son was born, the age of the wife was six-sevenths that of her husband's age. \n" ); document.write( " Find the age of each. \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( ": \n" ); document.write( "\"A man is 4 years older than his wife\" \n" ); document.write( "m = w + 4 \n" ); document.write( "subtract 4 from both sides \n" ); document.write( "w = (m-4) \n" ); document.write( ": \n" ); document.write( "\"and 5 times as old as his son.\" \n" ); document.write( "m = 5s \n" ); document.write( ": \n" ); document.write( "\"When the son was born, the age of the wife was six-sevenths that of her husband's age.\" \n" ); document.write( "w - s = \n" ); document.write( "multiply both sides by 7 \n" ); document.write( "7(w-s) = 6(m-s) \n" ); document.write( "7w - 7s = 6m - 6s \n" ); document.write( "7w = 6m - 6s + 7s \n" ); document.write( "7w = 6m + s \n" ); document.write( "replace w with (m-4) \n" ); document.write( "7(m-4) = 6m + s \n" ); document.write( "7m - 28 = 6m + s \n" ); document.write( "7m - 6m = s + 28 \n" ); document.write( "m = s + 28 \n" ); document.write( "replace m with 5s \n" ); document.write( "5s = s + 28 \n" ); document.write( "5s - s = 28 \n" ); document.write( "4s = 28 \n" ); document.write( "s = 7 yrs is the son's age \n" ); document.write( "then \n" ); document.write( "5(7) = 35 yrs is Dad's age \n" ); document.write( "and \n" ); document.write( "35-4 = 31 yrs is Mom's age \n" ); document.write( ": \n" ); document.write( "; \n" ); document.write( "confirm these solutions in the statement: \n" ); document.write( "\"When the son was born, the age of the wife was six-sevenths that of her husband's age.\" \n" ); document.write( "31 - 7 = \n" ); document.write( "24 = \n" ); document.write( "24 = 24; \n" ); document.write( " |