On dividing a number by 999, the quotient is 366 and the remainder is 103. The number is:
- Required number = 999 x 366 + 103 = (1000 - 1) x 366 + 103 = 366000 - 366 + 103
= 365737
The given statement can be represented mathematically as follows:
Let, x be the number that is to be divided by 999
x/999 = 366 (Quotient)
Remainder = 103
Therefore,
x = 999*366 + 103
x = 365737
Hence, the number is 365737
Definition:
Division: Division is an arithmetic operation applied to two numbers, which is used to find the number of times one number is contained in another. It is denoted by a forward slash ( / ).
Formula:
x/999 = 366
x = 999*366 + 103
Explanation:
Division is the inverse of multiplication, and it is used to determine how many times one number is contained in another. In the given equation, the number x is being divided by 999 and the result is 366, with a remainder of 103.
To solve this, we can use the formula x = 999*366 + 103, which states that the number x is the product of 999 and the quotient 366, plus the remainder 103. This gives us the value of x as 365737. Therefore, the number is 365737 which is option C.
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