If a + b + c = 8 and both b and c are positive integers greater than zero, then the maximum value ‘a’ can take is:

Correct option is A

Given:

The equation is a + b + c = 8 , and both b and c are positive integers greater than zero.
Concept Used:
To maximize a , we need to minimize b and c . The minimum value for both b and c as positive integers is 1.
Solution:
Substitute b = 1 and c = 1 into the equation:
a + 1 + 1 = 8
a + 2 = 8
a = 8 - 2 = 6
Thus, the maximum value of a is 6.