MCQ
Mark against the correct answer in the following: If $2\text{x}+\frac{5}{3}=\frac{1}{4}\text{x}+4$, then $x = ?$
- A$3$
- B$4$
- C$\frac{3}{4}$
- ✓$\frac{4}{3}$
✓
Answer
Correct option: D.
$\frac{4}{3}$
$2\text{x}+\frac{5}{3}=\frac{1}{4}\text{x}+4$
$\Rightarrow2\text{x}-\frac{1}{4}\text{x}=4-\frac{5}{3}$
$\Rightarrow\frac{8\text{x}-1\text{x}}{4}=\frac{12-5}{3}$
$\Rightarrow\frac{7\text{x}}{4}=\frac{7}{3}$
$\Rightarrow21\text{x}=28$
$\Rightarrow\text{x}=\frac{28}{21}=\frac{4}{3}$
$\Rightarrow2\text{x}-\frac{1}{4}\text{x}=4-\frac{5}{3}$
$\Rightarrow\frac{8\text{x}-1\text{x}}{4}=\frac{12-5}{3}$
$\Rightarrow\frac{7\text{x}}{4}=\frac{7}{3}$
$\Rightarrow21\text{x}=28$
$\Rightarrow\text{x}=\frac{28}{21}=\frac{4}{3}$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
The number of faces of a cylinder is __.
1.04 = ?
In Fig. $PQ || RS$ and $a : b = 3 : 2.$ Then, f is equal to: 
→Mark $(\checkmark)$ against the correct answer in the following:
What should be subtracted from $\frac{-3}{4}$ to get $\frac{5}{6}?$
→What should be subtracted from $\frac{-3}{4}$ to get $\frac{5}{6}?$
In the word MATHS, which of the following pair of letters shows rotational symmetry?
Which of the folllowing is not the additive inverse of $a?$
→Mark against the correct answer in the following: If $2A = 3B = 4C,$ then $A : B : C = ?$
→The amount on $Rs. 25000$ at $8\%$ per annum for $6$ years under simple interest is:
→The Arithmetic mean of all the factors of $24$ is:
→$0.43$ is rational and it can be written as ..........
→