Question

The sum of a number and twice a greater number is 8. The sum of the greater number and twice the lesser number is -6.

Answer 1

Let x be the lesser number and y be the greater number.

We can represent this as two equations:

x + 2y = 8 y + 2x = -6

By solving these equations, we can find that x = -2 and y = 3. Therefore, the lesser number is -2 and the greater number is 3.