Question

Find the sum of integer values ​​that the expression 2a+3b can take if 2<a<3 and 4<b<5​

Answer 1

Ответ: 42.

Пошаговое объяснение:

To find the sum of all possible integer values of 2a + 3b, where 2 < a < 3 and 4 < b < 5, we can consider all possible combinations of a and b that satisfy these conditions and calculate the corresponding value of 2a + 3b.

Since 2 < a < 3, the possible integer values of a are 3 and 2. Similarly, since 4 < b < 5, the possible integer values of b are 5 and 4.

Therefore, the possible combinations of a and b are (2,4), (2,5), (3,4), and (3,5).

We can calculate the corresponding values of 2a + 3b for each combination:

When a = 2 and b = 4, 2a + 3b = 8.

When a = 2 and b = 5, 2a + 3b = 11.

When a = 3 and b = 4, 2a + 3b = 10.

When a = 3 and b = 5, 2a + 3b = 13.

Therefore, the sum of all possible integer values of 2a + 3b is 8 + 11 + 10 + 13 = 42.