Question

A number divided by 84 leaves remainder 57 what is the remainder when same number divided by 12

Answer 1

Since 84 is multiple of 12 hence,any no divided by 84 must be divided by 12..
but, numbers<84 can't be divided by 84, hence we divide it by 12 to see what comes as remainder..So..
57
$57 \div 12 = 9 \: as \: remainder...$

Answer 2

Answer:

The remainder is 9

Step-by-step explanation:

As we know,

Dividend = ( Divisor * Quotient ) + Remainder

Now, let Number be N

When this number is divided by 84, it leaves 57 as a remainder

⇒ N = ( 84 * Q ) + 57

N = 84Q + 57

According to question,

This number is divided by 12

$\frac{N}{12}$ = $\frac{84Q + 57}{12}$

$\frac{N}{12}$ = $\frac{84Q}{12}$ + $\frac{57}{12}$

Since 84 is completely divisible by 12,

$\frac{N}{12}$ = 7Q+ $\frac{57}{12}$

⇒$\frac{57}{12}$ leaves remainder as 9

So remainder = 9