In a division sum, the divisor is 9 times the quotient and 3 times the remainder. If the remainder is 42, what is the dividend?
1806
The remainder is given as 42.
The divisor is 3 times the remainder: \(3 \times 42 = 126\).
The divisor is 9 times the quotient, so the quotient \(= \frac{126}{9} = 14\).
By the division algorithm, dividend \(= \text{divisor} \times \text{quotient} + \text{remainder}\).
So dividend \(= 126 \times 14 + 42 = 1764 + 42 = 1806\).
Hence, the dividend is 1806.
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