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Three persons A, B and C have different amounts of rupees with them. If A takes ₹6 from C, A will have equal amount as B has. A and B together have total ₹74. How many rupees does B have?

Three persons A, B and C have different amounts of rupees with them. If A takes ₹6 from C, A will have equal amount as B has. A and B together have total ₹74. How many rupees does B have? Correct Answer 40

Suppose the amounts with A, B and C are x, y and z respectively.

According to the given information,

A takes ₹6 from C, A will have equal amount as B.

→ x + 6 = y      ----(i)

A and B together have total ₹74.

x + y = 74      ----(ii)

Therefore,

x + y = 74

⇒ x + (x + 6) = 74

⇒ 2x + 6 = 74

⇒ 2x = 74 - 6

⇒ 2x = 68

⇒ x = 34.

Therefore, y = 34 + 6 = 40.

So, B has ₹40

Hence, the correct answer is 40.

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