In a division problem, product of quotient and the remainder is 24 while their sum is 10. If the divisor is 5 then dividend is __________.
Explanation:
Let the dividend be N, Quotient be Q and Remainder be R. Given, Divisor = 5
∴ N = 5 × Q + R
Given, QR = 24 and Q + R = 10 Since Q and R are integers, the only possible value for Q and R will be 6 or 4 in any order.
Here, the divisor is 5 and hence remainder cannot be greater than 5, hence R = 4 and Q = 6.
⇒ N = 5 × 6 + 4 = 34.
Hence, 34.
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