The difference of two numbers is 12, and the sum of twice the first number and the second is 27. Find these numbers.

If the difference between two numbers is 12, then this means that one number is 12 more than the other.

Let the first number be x, then the second number is (x + 12). The doubled first number is equal to 2x (to find the doubled number, you must multiply by 2). By the condition of the problem, it is known that the sum of the doubled first number and the second number is equal to (2x + (x + 12)) or 27. Let’s compose an equation and solve it.

2x + (x + 12) = 27;

2x + x + 12 = 27;

3x + 12 = 27;

3x = 27 – 12;

3x = 15;

x = 15: 3;

x = 5 – the first number;

x + 12 = 5 + 12 = 17 is the second number.

Answer. 5; 17.