Question

A number when divided by 259 leaves a remainder 139. what will be the remainder when the same number is divided by 37?

Answer 1

It is very simple.

As 259 is perfectly divisible by 37. So, to get remainder when the number is divided by 37, you need to divide 139 by 37, you get quotient 3 and 28 remainder.

Thus, the answer is 28.

To further explain it, we use little algebra. Let the number is 259*t + 139 where t can be any non-negative number.

Now, you divide 259*t + 139 by 37 and you get 7t + 3 as quotient and 28 as remainder.

Again, the answer is 28.

Answer 2

Answer:

28

Step-by-step explanation:

Given: A number when divided by 259 leaves a remainder 139.

To Find : what will be the remainder when the same number is divided by 37?

Solution:

Let the divisor be n .

Let the quotient be q

$Dividend = (Divisor \times Quotient)+Remainder$

$Dividend = (259q)+139$

$Dividend = 37(7q)+111+28$

$Dividend = 37(7q)+3(37)+28$

$Dividend = 37(7q+3)+28$

Thus the remainder is 28 .

Hence the remainder when the same number is divided by 37 is 28