The sum of the three numbers is 1480. The sum of the first and second numbers is 1230

The sum of the three numbers is 1480. The sum of the first and second numbers is 1230, the sum of the second and third numbers is 1010. Find every number.

1. Let’s denote the required numbers by X, Y and Z.

2. Then the first equation: X + Y + Z = 1480 (the sum of all numbers).

3. Second equation: X + Y = 1230 (the sum of the first and second).

4. Third equation: Y + Z = 1010 (the sum of the second and third).

5. Let us subtract the second from the first equation. We get: Z = 1480 – 1230 = 250.

6. Subtract the third from the first equation. We get: X = 1480 – 1010 = 470.

7. Substitute the value for X in the second equation. We get: 470 + Y = 1230. Hence Y = 760.

Answer: the required numbers are 470, 760 and 250.