By what number must be divided so that as to give a quotient 15 and remander 11
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There are infinitely many ways to express y/x as a quotient of 15 with a remainder of 11 through the equation y=15x+11 starting with (12,191).
To find the number by which a dividend must be divided to give a quotient of 15 and a remainder of 11, we can use the formula:
Dividend = (Divisor x Quotient) + Remainder
Let's substitute the information given into the formula:
Dividend = (Divisor x 15) + 11
Since we are looking for the divisor, we need to re-arrange the formula:
Divisor = (Dividend - Remainder) / Quotient
Now, let's plug in the values:
Divisor = (Dividend - 11) / 15
We don't have a specific dividend in the given question, so we can leave it as a variable. Let's simplify the formula:
Divisor = (Dividend - 11) / 15
So, the number by which the dividend must be divided to give a quotient of 15 and a remainder of 11 is (Dividend - 11) / 15.