NCERT Solutions for Chapter: Simple Equations, Exercise 1: Exercise

Two trains travelling in opposite direction at $60 kmph$ and $50 kmph$ crossed each other in $9 s.$ If the train which is travelling at $60 kmph$ crossed a pole in $6 s,$ then find the length of the train which is travelling at $50 kmph$.

In a garage, there are some two-wheelers and four wheelers. The total number of wheels of these are $30$more than twice the total number of these vehicles. Find the number of four wheelers.

If one-third of a number $x$ is subtracted from two-thirds of the number $x$, then the result is $6$. Then, $x=$ _____.

The sum of the ages of a man and his daughter is $56$ years. If the daughter's age is $\frac{1}{3}$ of his father' age, then find the age (in years) of the daughter.

Solve the following equations.

$2y+\frac{5}{2}=\frac{37}{2}$

Simple interest on a certain sum is given by $\mathrm{I}=\frac{\mathrm{PTR}}{100}$. Make $\mathrm{T}$ as the subject of the formula. Find $\mathrm{T}$ when $\mathrm{P}=₹1000, \mathrm{R}=10\% \mathrm{p}.\mathrm{a}., \mathrm{and} \mathrm{I}=₹300$

One-third of a number is equal to $24$, then find the value of $1\frac{1}{2}$ times of the number.

Solve the following equation and check your answer:

$7-\mathrm{y}=-10$