The divisor is 8 times the quotient and 2 times the remainder. If the quotient is 10, then find the dividend800820840880900
Question
The divisor is 8 times the quotient and 2 times the remainder. If the quotient is 10, then find the dividend 800 820 840 880 900
Solution
Given that the divisor is 8 times the quotient and 2 times the remainder, and the quotient is 10, we can use these relationships to find the dividend.
Step 1: Determine the divisor. Since the divisor is 8 times the quotient, and the quotient is 10, we multiply 8 by 10 to find the divisor. Divisor = 8 * 10 = 80
Step 2: Determine the remainder. Since the divisor is also 2 times the remainder, we can find the remainder by dividing the divisor by 2. Remainder = Divisor / 2 = 80 / 2 = 40
Step 3: Determine the dividend. The relationship between divisor, quotient, and remainder in a division operation is given by the formula: Dividend = (Divisor * Quotient) + Remainder Substituting the values we found: Dividend = (80 * 10) + 40 = 800 + 40 = 840
So, the dividend is 840.
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