Question
When a number is divided by 17, the quotient is 132,
and the difference between the quotient and the remainder is 120. Find the number.Solution
Let the number be 'X'. The difference between the quotient and the remainder is 120, which means, the remainder is less than quotient. (because remainder cannot be more than the divisor i.e. 17) So, the remainder = 132 - 120 = 12 Number = Divisor Ă— Quotient + Remainder 'X' = 17 Ă— 132 + 12 So, X = 2,256 Therefore, the given number = X = 2,256
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