the product of twice a number and two is the same as the difference of three times the number and 8/3. find the number

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25-03-2018
Mathematics

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the product of twice a number and two is the same as the difference of three times the number and 8/3. find the number

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1rstar 1rstar · Answer 1 · 2018-03-25T21:54:16+02:00

◆ PLAYING WITH NUMBERS ◆

[tex]let \: the \: required \: no. \: be \: \: x \\ \\ acc. \: to \: the \: question \: \: , \\ \\ 2 \times 2x \: \: = |3x - \frac{8}{3} | \\ 4x = |3x - \frac{8}{3} | \\ \\ case \: 1 - \: \\ 4x = 3x - \frac{8}{3} \\ \\ 4x - 3x = - \frac{8}{3} \\ \\ x = - \frac{8}{3} \: \: \: \: ans.\\ \\ \\ case \: 2 \: - \\ 4x = - (3x - \frac{8}{3} ) \\ 4x = - 3x + \frac{8}{3} \\ 7x = \frac{8}{3} \\ \\ x = \frac{8}{21} \: \: \: \: ans.[/tex]