In a division sum, the divisor is 2 times the quotient and 3 times the remainder. If the remainder is 10, what is the dividend?
460
The remainder is given as 10, and the divisor is 3 times the remainder: \(3 \times 10 = 30\).
The divisor is also 2 times the quotient, so the quotient is \(\frac{30}{2} = 15\).
Apply the division identity \(\text{Dividend} = \text{Divisor} \times \text{Quotient} + \text{Remainder}\).
Substitute the values: \(30 \times 15 + 10 = 450 + 10 = 460\).
Hence, the dividend is 460.
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