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in Differential equations by (64.8k points)

If x satisfies the equation [x + 0.19] + [x + 0.20] + [x + 0.21] + ... + [x + 0.22] + ... + [x + 0.91] = 542 Then find the value of [100x]

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We have [x + 0.19] + [x + 0.20] + [x + 0.21] + ... + ... + [x + 0.22] + ... + [x + 0.91] = 542

⇒ [x + 19/100] + [x + 20/100] + .... +[x + 91/100] = 542

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