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Answer:
26
Step-by-step explanation:
Question says that 'a' and 'b' are integers that implies we cannot have 'a' and 'b' in the form of decimals.
Now, lets expand the given equation:
Lets say: ,
Let us consider the factor pairs of 100.
Only factor pair gives us the integer values of 'a' and 'b'.
....equation (1)
........ equation (2)
adding equation 1 and 2, we get:
Plugging the value of 'a' in the equation 2
So the greatest possible value of 'a' is 26.