Question

When a number is divided by 22 the quotient is 74 and the remainder is 0.
What will be the quotient if the same number is divided by 11?

Answer 1

Step-by-step explanation:

Here let the number be N.

So, N=121*x+25 where x is quotient.

it can be written as N=11(11*x+2)+3

When N is divided by 11 the remainder is 3.

Answer 2

Given:

A number is divided by 22 the quotient is 74 and the remainder is 0.

To find:

the quotient if the same number is divided by 11

Solution:

We know that the quotient remainder theorem gives A= B * Q + R, where A is the number that is divided by B. Q is the quotient and R is the remainder.

Let the number be x

Converting the given statement to this kind of equation we get

x = 22 * 74 + 0

x = 1628

Now if x is divided by 11, the equation will be

1628/ 11 = 148

hence the remainder will be 0

and the quotient is 148.