Question

On dividing 59761 by a certain number the quotient is189 and remainder is 37 find the divisor

Answer 1

Using the formula,

DIVIDEND ={ DIVISOR × QUOTIENT ] + REMAINDER


Let us assume divisor is x,

Replacing the values in the formula,
$59761 = {x \times 189} \: + 37$

$59761 - 37 = x \times 189$
$59724 = 189x$
$\frac{59724}{189} = x$
$316 = x$
$x = 316$
x=316



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