Question

Four more than three times a number is equal to twelve more than its double. The number is​

Answer 1

Answer:

its 8

Explanation:

let number be X

Given

4+3X=12+2X

X=8

Answer 2

Answer :-

• The required number is 8.

To find :-

• The number.

Step-by-step explanation :-

Let the number be "x".

Three times the number = "3x".

Four more than three times the number = "3x + 4".

Now,

Double the number = "2x".

Twelve more than it's double = "2x + 12."

It has been given that :-

• Four more than three times a number is equal to twelve more than it's double.

Therefore,

$\sf 3x + 4 = 2x + 12$

Transposing 4 from LHS to RHS, changing it's sign,

$\sf 3x = 2x + 12 - 4$

Subtracting 4 from 12,

$\sf 3x = 2x + 8$

Transposing 2x from RHS to LHS, changing it's sign,

$\sf 3x - 2x = 8$

Subtracting 2x from 3x,

$\underline{\boxed{\sf x = 8}}$

• Hence, the required number is 8.

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