If 5a + 7b = k, where a and b are positive integers, what is the largest possible value of k for which exactly one pair

Source: Manhattan Prep

If 5a + 7b = k, where a and b are positive integers, what is the largest possible value of k for which exactly one pair of integers (a, b) makes the equation true?

A. 35
B. 48
C. 69
D. 70
E. 74

The OA is D

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