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Option 1 : 25
Given:
Product of two whole numbers = 36
Calculations:
All the possible product pairs of 36 are (1 × 36), (2 × 18), (3 × 12), (4 × 9), (6 × 6)
Checking the sum for the given pairs
⇒ 1 + 36 = 37
⇒ 2 + 18 = 20
⇒ 3 + 12 = 15
⇒ 4 + 9 = 13
⇒ 6 + 6 = 12
Largest possible sum = 37
Smallest possible sum = 12
Difference between largest possible sum and smallest possible sum = 37 - 12
⇒ 25
∴ The difference between the largest possible sum and the smallest possible sum is 25
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