Shabbir has a brother one-fourth of his age and a sister two times of his age. If the combined age of all the three siblings is twenty more than thrice the age of the youngest, how old is Shabbir's sister?
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Explanation: মনেকরি, Sabbir-এর বয়স \(= x\) বছর। Sabbir-এর ভাইয়ের বয়স \(= \frac{x}{4}\) বছর। Sabbir-এর বোনের বয়স \(= 2x\) বছর। The youngest is the brother, age \(\frac{x}{4}\). Combined age \(= x + \frac{x}{4} + 2x = 3x + \frac{x}{4} = \frac{13x}{4}\). Condition: Combined age \(= 3 \times (\text{youngest age}) + 20\). \(\frac{13x}{4} = 3 \times \frac{x}{4} + 20 \Rightarrow \frac{13x}{4} - \frac{3x}{4} = 20 \Rightarrow \frac{10x}{4} = 20 \Rightarrow 10x = 80 \Rightarrow x = 8\). Shabbir's sister's age \(= 2x = 2 \times 8 = 16\).