Question

660:(11х-40)=НОД(1815;2145)​

Answer 1

Оцени пожалуйста……….

Answer 2

To find the greatest common divisor (GCD) of 1815 and 2145, we can use the Euclidean algorithm.

Step 1: Divide 2145 by 1815: 2145 ÷ 1815 = 1 remainder 330

Step 2: Now, use the result of the previous division (1815) as the divisor and the remainder (330) as the dividend: 1815 ÷ 330 = 5 remainder 165

Step 3: Continue this process until you get a remainder of 0: 330 ÷ 165 = 2 remainder 0

Since we have reached a remainder of 0, the GCD of 1815 and 2145 is the last non-zero remainder, which is 165.

Now, let's calculate the expression you provided:

660:(11x - 40) = GCD(1815, 2145)

We have already determined that GCD(1815, 2145) is 165.

So, the equation becomes:

660:(11x - 40) = 165

Now, to solve for x, you can isolate the variable:

660 = 165(11x - 40)

Divide both sides by 165:

660/165 = 11x - 40

4 = 11x - 40

Add 40 to both sides:

44 = 11x

Now, divide by 11 to solve for x:

x = 44/11 x = 4

So, the value of x that satisfies the equation is 4.