document.write( "Question 75641: The sum of the ages of Mrs Bai and her daughter Jenni is 70. The difference between their ages is 32 years. How old is Jenni?\r
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Algebra.Com's Answer #54318 by chitra(359)![]() ![]() You can put this solution on YOUR website! It is given that the sum of their ages is 70 and the difference between their ages is 32. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let the age of Mrs. Bai be \"x\" and the age of Jenni be \"y\" \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Thsi implies \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + y = 70 and \r \n" ); document.write( "\n" ); document.write( "x - y = 32 \r \n" ); document.write( "\n" ); document.write( "------------- [ solving both the equations simultaneously]\r \n" ); document.write( "\n" ); document.write( "2x = 102 \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> x = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> x = 51 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Substitute this x in any one of the equations to get the value of y.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "51 + y = 70 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 70 - 51 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> y = 19 \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hence, the age of Mrs. Bai is 51 years and that of Jenni is 19 years.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hence, the solution.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |