A number when divided by 899 gives a remainder 62
Answers
So, no. =(899×x) +62
Answer: Any value of x that can be expressed in form 899q + 62, where q is an integer, will give a remainder of 62 when divided by 899.
Let's call the number we're trying to find "x".
If x is divided by 899 and leaves a remainder of 62, we can write this as:
x = 899q + 62
where q is the quotient (the result of the division).
We don't know what x is, but we can see that it can be expressed in terms of 899 and 62.
Now, we could try different values of q to see if we can find an integer value of x that satisfies this equation.
However, we can also simplify the equation by recognizing that any value of q will work, as long as it is an integer.
To see why note that adding or subtracting 899 from x will not change the remainder when x is divided by 899 since the remainder is determined by the difference between x and a multiple of 899.
For example, suppose we have a value of x that satisfies the equation above and let's say q = 1. Then:
x = 899(1) + 62 = 961
961 divided by 899 gives a remainder of 62, which is what we wanted.
However, we could also choose a different value of q, such as q = 2:
x = 899(2) + 62 = 1760
1760 divided by 899 also gives a remainder of 62.
Therefore, any value of x that can be expressed in form 899q + 62, where q is an integer, will give a remainder of 62 when divided by 899.
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