Problem 5. The product of two numbers is 1325. If the smaller of them is increased by 5, and the other remains the same, a new product of 1590 is obtained. Determine these numbers.
Solution. First method. One of the factors is (1590-1325):5=53, while the other factor is $1325: 53=25$.

Second method. $1325=5 \cdot 5 \cdot 53$. Therefore, the smaller factor must be 25, because it cannot be 5 (5 does not satisfy the condition of the problem). So, the numbers are 25 and 53.

## VII Grade