document.write( "Question 1119940: Bhim is 15 years older than his wife, 35 years older than his son, 37 years older than his daughter. bhim and his wife had been married for 5 years before the son was born. If their combined age added up to 167, how old was bhim's wife when they got married.
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Algebra.Com's Answer #735580 by Theo(13342)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "let b = bhim's age today. \n" ); document.write( "let w = bhim's wife's age today. \n" ); document.write( "let s = bhim's son's age today. \n" ); document.write( "let d = bhim's daughter's age today.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the sum of their age today is 167.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b + w + s + d = 167.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b = w + 15 \n" ); document.write( "b = s + 35 \n" ); document.write( "b = d + 37\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for w,s,d to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "w = b - 15 \n" ); document.write( "s = b - 35 \n" ); document.write( "d = b - 37\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the equation of b + w + s + d = 167 becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b + b - 15 + b - 35 + b = 37 = 167\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "combine like terms to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4b - 87 = 167\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "add 87 to both sides of this equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4b = 254\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for b to get b = 254 / 4 = 63.5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "bhim is 63.5 today. \n" ); document.write( "bhim's wife is 63.5 - 15 = 48.5 today. \n" ); document.write( "bhim's son is 63.5 - 35 = 28.5 today. \n" ); document.write( "bhim's daughter is 63.5 - 37 = 26.5 today.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the sum of their ages is 63.5 + 48.5 + 28.5 + 26.5 = 167.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "bhim was married 5 years before his son was born.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "his son was born 28.5 years ago.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "add 5 to that to get bhim was married 33.5 years ago.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "33.5 years ago, bhim was 63.5 - 33.5 = 30.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "his wife was 48.5 - 33.5 = 15.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's your solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "bhim's wife was 15 when she married him.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |