Question

six times of a number is same as three times of a number obtained by adding 12 to the number. find the number​

Answer 1

Answer: The answer is 12

Step-by-step explanation:

Since the number is unknown, we give it letter "x".

6 times of x would give us 6x.

6x is same as three times of the number added to 12.

This requires an equation where we would say:

6x = 3( x + 12)

According to BODMAS, you're supposed to first open the brackets, such that

6x = 3x + 36.

Let's collect the like terms together. In this way we are going to put the unknowns together, that is, 6x and 3x in the same side. When 3x crosses to the other side of the equals ( =) sign, it changes to be a negative number.

Therefore our equation will be:

6x - 3x = 36

3x = 36

Dividing through by 3 to get the value of x,

x = 12

To prove,

(6 × 12) = 3( 12 + 12)

72 = (3 × 24)

72 = 72.

The number is 12