Question
Solve: $\frac{3 a-2}{7}-\frac{a-2}{4}=2$
✓
Answer
$\begin{aligned} & \frac{3 a-2}{7}-\frac{a-2}{4}=2 \\ & \Rightarrow \frac{12 a-8-7 a+14}{28}=2 \\ & \Rightarrow 12 a-8-7 a+14=2 \times 28 \\ & \Rightarrow 12 a-8-7 a+14=56 \\ & \Rightarrow 12 a-7 a+14-8=56 \\ & \Rightarrow 5 a+6=56 \\ & \Rightarrow 5 a=56-6=50 \\ & \Rightarrow a=\frac{50}{5}=10 \\ & \therefore a=10\end{aligned}$
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
Find the unknown angles in the given figure:
Arrange the given rational numbers in ascending order:
$\frac{7}{10}, \frac{-11}{-30} \text { and } \frac{5}{-15}$
→$\frac{7}{10}, \frac{-11}{-30} \text { and } \frac{5}{-15}$
Find $x$ in Figure Given: $D A=D B=D C, B D$ bisects $\angle A B C$ and $\angle A D B=$$70^{\circ}$.
→The numerator of a fraction is four less than its denominator. If 1 is added to both, is numerator and denominator, the fraction becomes $\frac{1}{2}$ Find the fraction.
→A compositor takes 1 hour 45 minutes to compose 24 pages of a book. How long will he take to compose 64 pages?
Insert three fractions between $\frac{3}{8}$ and $\frac{6}{11}$
→Insert three fractions between $\frac{1}{2}$ and $\frac{5}{7}$
→Evaluate: $\frac{-2}{3}+\frac{3}{4}$
→A floor is 40 m long and 15 m broad. It is covered with tiles, each measuring 60 cm by 50 cm. Find the number of tiles required to cover the floor.
In the given figure, find the measure of the unknown angles:
