Find the least positive integer which gives remainder 1 when divided by 13, and remainder 2 when divided by 31.

The required integer is 157.

Step-by-step explanation:

Let the unknown number be x.

It is given that the remainder 1 when x is divided by 13, and remainder 2 when x is divided by 31.

Here,

13 and 31 hare prime numbers. so the GCD o 13 and 31 is

Using Chinese remainder theorem, we get

The formula to find the value of x is

Substitute the given values in the above formula.

Let n=-1, because we need to find the least positive integer.

Therefore, the required integer is 157.

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.

answer: you need the equation in the question so i can answer it

step-by-step explanation: