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The product of two positive integers are 1584 and their H.C.F is 4. Both the integers are greater than 34.Find the difference of these integers.1. 72. 93. 84. 5 |
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Answer» Correct Answer - Option 3 : 8 Given Product of two positive integers = 1584 H.C.F = 4 Explanation Let the two integers are 4p and 4q As the H.C.F = 4 According to question: 4p × 4q = 1584 ⇒ 16pq = 1584 ⇒ pq = 99 So, p and q could be 3 and 33; 9 and 11 So, the integers will be 4 × 9 = 36 4 × 11 = 44 Integers will be 36 and 44 ∴ required difference = 44 – 36 = 8 |
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