Question
When a number is divided by 21, the quotient is 160,
and the difference between the quotient and the remainder is 144. Find the number.Solution
Let the number be 'X'. The difference between the quotient and the remainder is 144, which means, the remainder is less than quotient. (because remainder cannot be more than the divisor i.e. 21) So, the remainder = 160 - 144 = 16 Number = Divisor Ă— Quotient + Remainder 'X' = 21 Ă— 160 + 16 So, X = 3,376 Therefore, the given number = X = 3,376
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