\(6-\frac{x-1}{2}= \frac{x-2}{3}+\frac{3-x}{4}\, \) x = .............

1.	\(6-\frac{x-1}{2}= \frac{x-2}{3}+\frac{3-x}{4}\, \) x = ......................6 - x - 1/2 = x - 2/3 + 3 - x/4 x = .........................A) 11 B) 10 C) – 6 D) – 4
Answer» Correct option is A) 11 Correct option is (A) 11 \(6-\frac{x-1}{2}=\frac{x-2}{3}+\frac{3-x}{4}\) \(\Rightarrow\) \(\frac{x-2}{3}+\frac{3-x}{4}+\frac{x-1}{2}=6\) \(\Rightarrow\) \(\frac{4(x-2)+3(3-x)+6(x-1)}{12}=6\) \(\Rightarrow\) 4x-8+9-3x+6x-6 = 72 \(\Rightarrow\) 7x - 5 = 72 \(\Rightarrow\) 7x = 72+5 = 77 \(\Rightarrow\) x = \(\frac{77}7\) = 11.

\(6-\frac{x-1}{2}= \frac{x-2}{3}+\frac{3-x}{4}\, \) x = ......................6 - x - 1/2 = x - 2/3 + 3 - x/4 x = .........................A) 11 B) 10 C) – 6 D) – 4

Answer»

Correct option is A) 11

Correct option is (A) 11

\(6-\frac{x-1}{2}=\frac{x-2}{3}+\frac{3-x}{4}\)

\(\Rightarrow\) \(\frac{x-2}{3}+\frac{3-x}{4}+\frac{x-1}{2}=6\)

\(\Rightarrow\) \(\frac{4(x-2)+3(3-x)+6(x-1)}{12}=6\)

\(\Rightarrow\) 4x-8+9-3x+6x-6 = 72

\(\Rightarrow\) 7x - 5 = 72

\(\Rightarrow\) 7x = 72+5 = 77

\(\Rightarrow\) x = \(\frac{77}7\) = 11.