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Let X and Y denote the two numbers. Then X + Y = 83, so X = 83 - Y. And X/Y = 6 r 6, so X = 6Y + 6. So, 83 - Y = 6Y + 6 becomes 7Y = 77, so Y = 11, and X = 72.

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Q: The sum of 2 numbers is 83 and if the larger number is divided by the smaller number then both the quotient and the remainder are 6 Find the numbers?
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