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A number when divided by 61 gives 27 as ...

A number when divided by 61 gives 27 as quotient and 32 as remainder. Find the number. ,

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To find the number that, when divided by 61, gives a quotient of 27 and a remainder of 32, we can use the formula: \[ \text{Number} = (\text{Divisor} \times \text{Quotient}) + \text{Remainder} \] ### Step 1: Identify the values - Divisor = 61 - Quotient = 27 - Remainder = 32 ### Step 2: Substitute the values into the formula Using the formula, we substitute the values we have: \[ \text{Number} = (61 \times 27) + 32 \] ### Step 3: Calculate the product of the divisor and the quotient First, we calculate \(61 \times 27\): \[ 61 \times 27 = 1647 \] ### Step 4: Add the remainder to the product Now, we add the remainder (32) to the product we calculated: \[ \text{Number} = 1647 + 32 \] ### Step 5: Perform the addition Now, we perform the addition: \[ 1647 + 32 = 1679 \] ### Final Answer Thus, the number is: \[ \text{Number} = 1679 \] ---
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