In a division sum, the divisor is 17 times the quotient and 11 times the remainder. If the remainder is 34, what is the dividend?
8262
Let the quotient be q and the remainder r = 34.
The divisor is 11 times the remainder: divisor = 11 × 34 = 374.
The divisor is also 17 times the quotient: 374 = 17q, so q = 22.
Dividend = divisor × quotient + remainder = 374 × 22 + 34 = 8228 + 34 = 8262.
Hence, 8262.
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