document.write( "Question 467321: Please help me with this math issue:\r
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document.write( "Mr. and Mrs. Johnson have 3 children; a son called Andy and two daughters Mary and Rosanna whom are twins and three years younger than Andy. Mrs. Johnson is 4 years younger than her husband and next year she will be the same age as all her children together. The total age of the Johnson family now equals to 125 years.
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document.write( "What is the age of every family member of the Johnson family? \n" );
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Algebra.Com's Answer #320634 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Mr. and Mrs. Johnson have 3 children; \n" ); document.write( " a son called Andy and two daughters Mary and Rosanna whom are twins and three years younger than Andy. \n" ); document.write( " Mrs. Johnson is 4 years younger than her husband and next year she will be the same age as all her children together. \n" ); document.write( " The total age of the Johnson family now equals to 125 years. \n" ); document.write( "What is the age of every family member of the Johnson family? \n" ); document.write( ": \n" ); document.write( "Let a = Andy's \n" ); document.write( "Let m = Mary's age \n" ); document.write( "let r = Rosanna's age \n" ); document.write( "let j = Mr Johnson's age \n" ); document.write( "let w = Mrs Johnson's age \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( ": \n" ); document.write( "\"a son called Andy and two daughters Mary and Rosanna whom are twins and three years younger than Andy.\" \n" ); document.write( "m = a - 3 \n" ); document.write( "r = a - 3 \n" ); document.write( "; \n" ); document.write( "\" Mrs. Johnson is 4 years younger than her husband \" \n" ); document.write( "w = j - 4 \n" ); document.write( "or \n" ); document.write( "j = w + 4 \n" ); document.write( ": \n" ); document.write( "\"next year she will be the same age as all her children together.\" \n" ); document.write( "w + 1 = (a+1) + (m+1) + (r+1) \n" ); document.write( "w = a + m + r + 3 - 1 \n" ); document.write( "w = a + m + r + 2 \n" ); document.write( "Replace m and r with (a-3) \n" ); document.write( "w = a + (a-3) + (a-3) + 2 \n" ); document.write( "w = 3a - 6 + 2 \n" ); document.write( "w = 3a - 4 \n" ); document.write( ": \n" ); document.write( "\"The total age of the Johnson family now equals to 125 years.\" \n" ); document.write( "j + w + a + m + r = 125 \n" ); document.write( "Replace j with (w+4), m & r with (a-3) \n" ); document.write( "(w+4) + w + a +(a-3) + (a-3) = 125 \n" ); document.write( "2w + 3a + 4 - 3 - 3 = 125 \n" ); document.write( "2w + 3a - 2 = 125 \n" ); document.write( "2w + 3a = 125 + 2 \n" ); document.write( "2w + 3a = 127 \n" ); document.write( "Replace w with (3a-4) \n" ); document.write( "2(3a-4) + 3a = 127 \n" ); document.write( "6a - 8 + 3a = 127 \n" ); document.write( "9a = 127 + 8 \n" ); document.write( "9a = 135 \n" ); document.write( "a = \n" ); document.write( "a = 15 yrs is Andy's age \n" ); document.write( "then, obviously \n" ); document.write( "Mary and Rosanna are 12 yrs old \n" ); document.write( ": \n" ); document.write( "Find w: \n" ); document.write( "w = 3(15) - 4 \n" ); document.write( "w = 41 yrs is wife's age \n" ); document.write( "then, obviously: \n" ); document.write( "45 yrs is Mr Johnson's age \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "See if this works out by finding the total of all the ages: \n" ); document.write( "45 + 41 + 15 + 12 + 12 = 125 \n" ); document.write( ": \n" ); document.write( "Summarize \n" ); document.write( "Mr Johnson is 45 \n" ); document.write( "Mr's Johnson is 41 \n" ); document.write( "Andy is 15 \n" ); document.write( "Mary is 12 \n" ); document.write( "Rosanna is 12\r \n" ); document.write( "\n" ); document.write( "o \n" ); document.write( " \n" ); document.write( " |