Explanation:

- The Highest Common Factor (HCF) of two numbers is 19, implying both numbers are multiples of 19. Let's denote them as 19a and 19b.

- Given: Their Sum is 152.

- 19a + 19b = 152

- a + b = 8

- Finding their Difference:

- Difference: 19a - 19b = 19(a - b)

- We must find values of a and b such that the sum is 8 and their difference is a multiple of 19.

- Possible integer pairs: (3, 5) and (5, 3). For both:

- Difference (a - b) is 2.

- Thus, 19(a - b) = 19 * 2 = 38.

- Check given options:

1. Option:1, 19

2. Option:2, 38

3. Option:3, 57

4. Option:4, 76

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