Question

НОД(48;15)=3НОК(x-1;5)=10Найдите x​

Answer 1

Ответ:

x=2

Пошаговое объяснение:

-1×5=5

10÷5=2

ответ :x=2

Answer 2

To find the value of x, we'll first calculate the greatest common divisor (GCD) of 48 and 15, which is 3. Then we'll calculate the least common multiple (LCM) of (x-1) and 5, which is 10.

Let's solve for x step by step:

1. GCD(48, 15) = 3

The GCD represents the largest positive integer that divides both numbers without leaving a remainder. In this case, the GCD of 48 and 15 is 3.

2. LCM(x-1, 5) = 10

The LCM represents the smallest positive integer that is divisible by both numbers. In this case, the LCM of (x-1) and 5 is 10.

To find x, we'll set up an equation using the LCM:

LCM(x-1, 5) = 10

Since the LCM of (x-1) and 5 is 10, we know that both (x-1) and 5 must be factors of 10. The factors of 10 are 1, 2, 5, and 10.

Therefore, we have two possibilities for (x-1):

Case 1: x-1 = 1 In this case, x = 1 + 1 = 2.

Case 2: x-1 = 5 In this case, x = 5 + 1 = 6.

So, the possible values for x are 2 and 6.