Three friends A, B and C have different amounts of rupees with them. If B takes Rs. 7 from A, then B will have equal amount as C has. B and C together have total Rs. 157. How many rupees does C have?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 82
| Understanding | Application |
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Suppose A, B and C have Rs. a, b and c with them respectively: According to the question: If B takes Rs. 7 from A, B will have equal amount as C: b + 7 = c -----(I) B and C together have total Rs. 157: b + c = 157 ----(II) |
From equation I and II: ⇒ b + (b + 7) = 157 ⇒ 2b + 7 = 157 ⇒ 2b = 157 – 7 ⇒ 2b = 150 ⇒ b = 75 Therefore, c = 75 + 7 = 82 So, C has Rs. 82 |