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Difference of squares of two numbers is 200 and six times The square of one number Is equal To tenTimes The larger number . Then the larger number is |
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Answer» ong>Given : Difference of SQUARES of two NUMBERS is 200 and six times The square of one number Is equal To TENTIMES The larger number To Find : the larger number LET say smaller number = S Larger number = L Difference of squares of two numbers is 200 => L² - S² = 200 The square of one number Is equal To ten Times The larger number . => 6S² = 10L => S² = 10L/6 => S² = 5L/3 L² - S² = 200 => L² - 5L/3 = 200 => 3L² - 45L + 40L - 600 = 0 => 3L(L - 15) + 40(L - 15) = 0 => (L - 15)(3L + 40) = 0 L = 15 Larger Number is 15 Learn More: the sum of a number and its positive square root is 6 / 25 find the ... Difference of the square and square root of a perfect square number ... |
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