Subject Experts Solutions for Chapter: Linear Equations, Exercise 1: Target Exercise

If the numerator and denominator of a fraction are increased by '$1$' and '$3$' respectively, the fraction becomes $\frac{1}{2}$. What is the fraction, if the increase of $2$ in the numerator and $7$ in denominator makes it $\frac{2}{5}$?

The difference of the squares of two numbers is $8000$. What is the smaller of the two numbers, if their sum is $200$?

The combined cost of $5$ doors and $7$ bells was $₹2350$ while, the cost of $10$ doors and $4$ bells is $₹2200$. How much is the cost of $2$ doors? 

$20$ yr ago the combined age of Ram and Shyam was ${\frac{5}{9}}^{\mathrm{th}}$ the sum of their present ages. If Ram is $20$ yr elder to Shyam, the present age of Ram is

Sum of the digits of a two-digit number is $24$ times the sum of their reciprocals. If the sum of there reciprocals is $\frac{5}{12}$, the number is

For what value of $k$, the equations $kx-9y=66$ and $2x-3y=8$ will have no solution?

The value of $x-y$, when the two equations are $x+y=50$ and $3x-2y=0$ is

Kashish has coins only in $2$ denominations, which is $10$ paisa and $25$ paisa. If the total number of coins and the total amount she has is $70$ and $₹13$ respectively, what is the number of $10$ paisa coins she has?