document.write( "Question 401357: The sum of 3 integers is 251. The sum of the 1st and 2nd integers exceeds the 3rd by 45. The 3rd integer is 42 less than the 1st. Find the 3 integers \n" ); document.write( "
Algebra.Com's Answer #284031 by richard1234(7193) You can put this solution on YOUR website! We have the system\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a + b + c = 251 \n" ); document.write( "a + b = c + 45 \n" ); document.write( "c = a + 42\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Substituting the second equation into the first, we obtain\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(c + 45) + c = 251 --> 2c + 45 = 251 --> c = 103. Replacing c into the third equation we get a = 61, and it follows that b = 87. \n" ); document.write( " |