Discussion

Explanation:

Let the number of coins collected each week by A and B be 3x and 4x respectively.

For A: Coins collected by A in 5 weeks is a multiple of 7
∴ 3x × 5 is a multiple of 7
⇒ x is a multiple of 7.

For B: Coins collected by B in 3 weeks is a multiple of 24
∴ 4x × 3 is a multiple of 24
⇒ x is a multiple of 2.

∴ x is a multiple of 7 and 2, hence least possible value of x = 14.

⇒ Minimum possible number of coins collected by A in one week is = 3x = 42.

Hence, 42.

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