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Three friends A, B and C have different amounts of rupees with them. If B takes ₹7 from A, then B will have equal amount as C has. B and C together have total ₹157. How many rupees does C have?

Three friends A, B and C have different amounts of rupees with them. If B takes ₹7 from A, then B will have equal amount as C has. B and C together have total ₹157. How many rupees does C have? Correct Answer 82

Let the amount with B be X. Then, amount with B after taking ₹7 from A = X + 7

According to the given information, amount with C = X + 7.

Also, the amount with C + amount with B before taking ₹7 = 157.

⇒ X + 7 + X = 157

⇒ 2X = 157 - 7 = 150

⇒ X = 75

Thus, amount with C = 75 + 7 = 82.

Hence, C has Rs 82.

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