Question

3 times of a number is equal to 2 times of 3 more than the first number .what is the number?please answer step by step.​

Answer 1

Answer:

Let the number be X.

3x = 2(3+X) -- according to equation.

3x = 6 + 2x

3x - 2x = 6

x = 6.

Hence the number obtained is 6.

Answer 2

Answer:

Let n = the unknown number.

The English sentence, "Three more than twice a number n is equal to the number n," can be translated mathematically into the following equation:

2n + 3 = n

Subtracting 3 from both sides, we get:

2n + 3 - 3 = n - 3

2n + 0 = n - 3

2n = n - 3

Now subtract n from both sides to isolate and solve for n:

2n - n = n - n - 3

(2 - 1)n = 0 - 3

(1)n = -3

n = -3

CHECK:

2n + 3 = n

2(-3) + 3 = -3

-6 + 3 = -3

-3 = -3

Therefore, n = -3 is the desired number.