Question

2 times a number is the same as 12 minus 3 times the number. What

is the number?
a. 2n = 3n − 12, 12 c. 2n = 12 − 3n, 2.4
b. 2n = 12 − 3n, 3 d. 2n = 12 − 3n, 2

Answer 1

The answer is A. 2n=3n-12, 12

Answer 2

a. 2n = 3n − 12, 12

Explanation:

Let the number be represented by n.

Then 2 times the number is 2*n = 2n

3 times the number = 3*n = 3n

12 minus 3 times the number is 3n-12

It is given that 2 times the number is the same as 12 minus 3 times the number.

Expressing this equation form:

`\[2n=3n-12\]`

Solving the equation,

`\[3n-2n=12\]`

`\[=> n=12\]`

Hence the required number is 12.