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(25)+(67)+(310)+x=9(\frac{2}{5}) + (\frac{6}{7}) + (\frac{3}{10}) + x = 9(52​)+(76​)+(103​)+x=9​, find the value of x?
Question

(25)+(67)+(310)+x=9(\frac{2}{5}) + (\frac{6}{7}) + (\frac{3}{10}) + x = 9​, find the value of x?

A.

52150\frac{521}{50}​​

B.

52170\frac{521}{70}​​

C.

52239\frac{522}{39}​​

D.

62170\frac{621}{70}​​

Correct option is B

Given:

(25)+(67)+(310)+x=9,(\frac{2}{5}) + (\frac{6}{7}) + (\frac{3}{10}) + x = 9,​​

Solution: 

(25)+(67)+(310)+x=9,(\frac{2}{5}) + (\frac{6}{7}) + (\frac{3}{10}) + x = 9, 

(2×14+6×10+3×770)+x=9 28+60+2170+x=9 10970+x=9 x=910970 x=63010970 x=52170(\frac{2\times 14+ 6\times 10 +3 \times 7 }{70}) + x = 9 \\\ \\\frac{28 + 60 + 21}{70} + x = 9 \\\ \\\frac{109}{70} + x = 9 \\\ \\x = 9 - \frac{109}{70} \\\ \\x = \frac{630 - 109}{70} \\\ \\x = \frac{521}{70}​​

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