document.write( "Question 147760: 1. The sum of the ages of two friends is 60. if three times the age of one friend is 9 less than four times the age of the other, how old is each?\r
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document.write( "2. Rolly is twice as old as his brother, Darwin. In five years, Darwin will be the same age as his brother ten years ago. What are their present ages? \n" );
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Algebra.Com's Answer #108136 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! 1. The sum of the ages of two friends is 60. \n" ); document.write( "x + y = 60 \n" ); document.write( "y = (60-x) \n" ); document.write( "; \n" ); document.write( "three times the age of one friend is 9 less than four times the age of the other, \n" ); document.write( "3x = 4y - 9 \n" ); document.write( ": \n" ); document.write( "how old is each? \n" ); document.write( ": \n" ); document.write( "Substitute (60-x) for y in the above equation: \n" ); document.write( "3x = 4(60-x) - 9 \n" ); document.write( "3x = 240 - 4x - 9 \n" ); document.write( ": \n" ); document.write( "3x + 4x = 240 - 9 \n" ); document.write( ": \n" ); document.write( "7x = 231 \n" ); document.write( "x = \n" ); document.write( "x = 33 yrs old \n" ); document.write( "then \n" ); document.write( "60 - 33 = 27 yrs old \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Check solution in the statement: \n" ); document.write( "three times the age of one friend is 9 less than four times the age of the other, \n" ); document.write( "3(33) = 4(27) - 9 \n" ); document.write( "99 = 108 - 9 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "2. Rolly is twice as old as his brother, Darwin. \n" ); document.write( "r = 2d \n" ); document.write( ": \n" ); document.write( "In five years, Darwin will be the same age as his brother ten years ago. \n" ); document.write( "d + 5 = r - 10 \n" ); document.write( "d = r - 10 - 5 \n" ); document.write( "d = r - 15 \n" ); document.write( ": \n" ); document.write( " What are their present ages? \n" ); document.write( ": \n" ); document.write( "Substitute 2d for r in the above equation \n" ); document.write( "d = 2d - 15 \n" ); document.write( "d - 2d = -15 \n" ); document.write( "-d = -15 \n" ); document.write( "d = 15 yrs is Darwin's present age \n" ); document.write( "then \n" ); document.write( "2(15) = 30 yrs is Roll's present age \n" ); document.write( ": \n" ); document.write( "Check solution in statement: \n" ); document.write( "In five years, Darwin will be the same age as his brother ten years ago. \n" ); document.write( "15 + 5 = 30 - 10 \n" ); document.write( " |