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A person had ‘a’ rupees and ‘b’ paise. He spent ₹12.20 and was left with 2b rupees and 2a paise. If a < 50 and b< 100, the initial amount that the parson had is____? |
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Answer» Answer: Step-by-step explanation: A person had ‘a’ rupees and ‘b’ paise. He spent ₹12.20 and was left with 2b rupees and 2a paise. If a < 50 and b< 100, the initial amount that the parson had is Given b is greater than or equal to 40, solving this will give a negative value. So it is not possible. Because a – 12 = 2 b b – 20 = 2 a Now b < 40 a – 1 – 12 = 2 b 100 + b – 20 = 2 a 80 + b = 2 a 2 a – b = 80 Now from both the EQUATIONS we have a – 2 b = 13 2 a – b = 80 ---------------------- Solving the two equations we get 3 b = 54 b = 18 a – 2 b = 13 a – 2(18) = 13 a = 49 So a = 49 and b = 18 |
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