Question
When a number is divided by 23, the quotient obtained is
168, and the difference between the quotient and the remainder is 152. Determine the number.Solution
Let the number be 'X'. The difference between the quotient and the remainder is 152, which means, the remainder is less than quotient. (because remainder cannot be more than the divisor i.e. 23) So, the remainder = 168 - 152 = 16 Number = Divisor X Quotient + Remainder 'X' = 23 X 168 + 16 So, X = 3,880 Therefore, the given number = X = 3,880
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