Question
Solve: $\frac{x}{2}+\frac{x}{5}=14$
✓
Answer
$\begin{aligned} & \frac{x}{2}+\frac{x}{5}=14 \\ & \Rightarrow \frac{5 x+2 x}{10}=14 \\ & \Rightarrow 5 x+2 x=14 \times 10 \\ & \Rightarrow 5 x+2 x=140 \\ & \Rightarrow 7 x=140 \\ & \Rightarrow x=\frac{140}{7}=20 \\ & \therefore x=20\end{aligned}$
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
Put the given fraction in ascending order by making denominator equal:
$\frac{1}{3}, \frac{2}{5}, \frac{3}{4} \text { and } \frac{1}{6}$
→$\frac{1}{3}, \frac{2}{5}, \frac{3}{4} \text { and } \frac{1}{6}$
Find the unknown angles in the given figure:
The sum of three consecutive even numbers is 48 . Find the numbers.
A square lawn is surrounded by a path $2.5 \ m$ wide. If the area of the path is $165\ m^2$ find the area of the lawn.
→The radius of two circles are $20 \mathrm{~cm}$ and $13 \mathrm{~cm}$. Find the difference between their circumferences. (Take $\left.\pi=\frac{22}{7}\right)$
→What number should be added to $8 \frac{2}{3}$ to $12 \frac{5}{6}$.
→→
A sum of Rs. 1,780 become Rs. 2,136 in 4 years, Find:
(i) the rate of interest.
(ii) the sum that will become Rs. 810 in 7 years at the same rate of interest?
(i) the rate of interest.
(ii) the sum that will become Rs. 810 in 7 years at the same rate of interest?
Evaluate: $\frac{-7}{6}+\frac{4}{-15}+\frac{-4}{-30}$
→The sum of three consecutive even numbers is 54. Find the numbers.