Question
When a number is divided by 16, the quotient is 175,
and the difference between the quotient and the remainder is 161. Find the number.Solution
Let the number be 'X'. The difference between the quotient and the remainder is 161, which means, the remainder is less than quotient. (because remainder cannot be more than the divisor i.e. 16) So, the remainder = 175 - 161 = 14 Number = Divisor × Quotient + Remainder 'X' = 16 × 175 + 14 So, X = 2,814 Therefore, the given number = X = 2,814
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