2. Two numbers are given, whose sum is 4500. If the first number is quadrupled, and the second is doubled, then the sum of the resulting numbers is 11480. Determine the given numbers?
Solution. If both numbers are doubled, then their sum is also doubled and it is equal to 9000. According to this, if only the first number is doubled, the result is

$$
11480-9000=2480
$$

Thus, the required numbers are

$$
2480: 2=1240 \text { and } 4500-1240=3260 .
$$