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) The sum of two numbers is 121 and their difference is 27. Find the numbers. |
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Answer» -step EXPLANATION:Problem 6: The product of two CONSECUTIVE odd integers is equal to 675. Find the two integers.Let x, x + 2 be the two integers. Their product is equak to 144x (x + 2) = 675 Expand to obtain a QUADRATIC equation.x 2 + 2 x - 675 = 0 Solve for x to obtain two solutionsx = 25 or x = -27 if x = 25 then x + 2 = 27 if x = -27 then x + 2 = -25 We have two solutions. The two NUMBERS are either25 and 27 or-27 and -25 Check that in both cases the product is equal to 675. |
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