Find the difference between 'm and 'n', if it is given that, (m)2 – (n)2 =81 and the sum of these two variables is equal to 50.

Find the difference between 'm and 'n', if it is given that, (m)2 – (n)2 =81 and the sum of these two variables is equal to 50. Which one is correct answer? a. 1.5 b. 2.5 c. 1.62 d. 1.75 e. None of the above
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Matthew WilsonProfessorAsked on November 2, 2017 in GMAT.
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Your question is - Find the difference between ā€˜m and ā€˜n’, if it is given that, (m)2 – (n)2 =81 and the sum of these two variables is equal to 50. It is a easy questions, If you see my explanation, I think, this questions answer will be clear to you. Your Correct answer: c Explanation: According to the question, (m)2 – (n)2 = 81….(i) Sum of these two variables = sum of 'm' and 'n' = 50.....(ii) We have to find the difference between 'm' and 'n' i.e. (m-n) According to the standard mathematical formula, (m)2 – (n)2 = (m + n) (m - n) On substituting the values from equations (i) and (ii) in this formula we get, 81 = 50 (m - n) ∓ (m – n) = 81/50 = 1.62 Hence, the correct answer is option c.
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KnowledgeWorldSupporterAnswered on November 2, 2017,
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