solve the equation: $\frac{x - 4}{x - 1} + \frac{x - 7}{x - 3} + \frac{x - 2}{x - 9} = 3$

Created: 8 months ago | Updated: 3 months ago

Job Solution Bank Asia Ltd Bank Asia Ltd Recruitment Test for Management Trainee Examination Held on : 28.04.2017 || 2017 গণিত

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$\frac{x - 4}{x - 1} + \frac{x - 7}{x - 3} + \frac{x - 2}{x - 9} = 3 \Rightarrow \frac{x - 4}{x - 1} + \frac{x - 7}{x - 3} = 3 - \frac{x - 2}{x - 9} \Rightarrow \frac{(x - 4) (x - 3) + (x - 7) (x - 1)}{(x - 1) (x - 3)} = \frac{3 (x - 9) - (x - 2)}{x - 9} \Rightarrow \frac{x^{2} - 3 z - 4 z + 12 + x^{2} - x - 7 x + 7}{x^{2} - 3 x - x + 3} = \frac{3 x - 27 - x + 2}{x - 9} \Rightarrow \frac{2 x^{2} - 15 x + 19}{x^{2} - 4 x + 3} = \frac{2 x - 25}{x - 9} \Rightarrow (2 x^{2} - 15 x + 19) (x - 9) = (x^{2} - 4 x + 3) (2 x - 25) \Rightarrow 2 x^{3} - 15 x^{2} + 19 x - 18 x^{2} + 135 x - 171 = 2 x^{3} - 8 x^{2} + 6 x - 25 x^{2} + 100 x - 75 \Rightarrow - 33 x^{2} + 154 x - 171 = - 33 x^{2} + 106 x - 75 \Rightarrow - 33 x^{2} + 33 x^{2} + 154 x - 106 x = - 75 + 171 \Rightarrow 48 x = 96 ∴ x = \frac{96}{48} = 2$

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Mr. Karim borrowed Tk. 500 at 5% simple interest per year. After some time, he borrowed Tk. 400 at 3*1/2 simple interest per year for the second time. Six months after the second time borrowing, he repaid both the borrowed money along with interest and the amount repaid was TK. 994.50. How many years after the first time borrowing Mr. Karim repaid the borrowed money?

Created: 8 months ago | Updated: 3 months ago

Job Solution Bank Asia Ltd Bank Asia Ltd Recruitment Test for Management Trainee Examination Held on : 28.04.2017 || 2017 গণিত

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Rahim can do a piece of work in 80 days. Rahim works for 10 days and Karim alone finishes the rest of the work in 42 days. How much time would it take for the two them together to complete the whole work?

Created: 8 months ago | Updated: 3 months ago

Job Solution Bank Asia Ltd Bank Asia Ltd Recruitment Test for Management Trainee Examination Held on : 28.04.2017 || 2017 গণিত

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The length of a rectangular field is 1*1/2 times of width. An amount of Tk. 10,260 was needed to cover the field with at the rate of 1.9 Tk. per square mater. How much would cost to fence the four sides of the rectangular field at the rate of Tk. 2.5 per meter?

Created: 8 months ago | Updated: 3 months ago

Job Solution Bank Asia Ltd Bank Asia Ltd Recruitment Test for Management Trainee Examination Held on : 28.04.2017 || 2017 গণিত

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solve the equation: x-4x-1+x-7x-3+x-2x-9=3

Related Questions

Rahim can do a piece of work in 80 days. Rahim works for 10 days and Karim alone finishes the rest of the work in 42 days. How much time would it take for the two them together to complete the whole work?

The length of a rectangular field is 1*1/2 times of width. An amount of Tk. 10,260 was needed to cover the field with at the rate of 1.9 Tk. per square mater. How much would cost to fence the four sides of the rectangular field at the rate of Tk. 2.5 per meter?

solve the equation: $\frac{x - 4}{x - 1} + \frac{x - 7}{x - 3} + \frac{x - 2}{x - 9} = 3$