Explanation:

- The sum of the two numbers is 140.

- The LCM (Least Common Multiple) of the numbers is 240.

- The HCF (Highest Common Factor) is 20.

- The relationship between the numbers can be given by the formula: (Product of numbers) = (LCM) × (HCF).

- Let the numbers be 20x and 20y, where 20 is the HCF.

- Then the equation 20x + 20y = 140 simplifies to x + y = 7.

- The condition for LCM gives: 20xy = 240, which simplifies to xy = 12.

- Solving x + y = 7 and xy = 12 gives x = 3 and y = 4.

- So the numbers are 60 and 80.

- The smaller number is 60.

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