M L Aggarwal Solutions for Chapter: Linear Equations and Inequalities in One Variable, Exercise 1: Exercise

Sum of the digits of a two digit number is $11$ When we interchange the digits, it is found that the resulting new number is greater than the original number by $63$ Find the two digit number.

An employee works in a company on a contract of $30$ days on the condition that he will receive $₹200$ for each day he works and he will be fined $₹20$ for each day he is absent. If he receives $₹3800$ in all, for how many days did he remain absent?

A local bus is carrying $40$ passengers, some with $₹5$ tickets and the remaining with $₹7.50$ tickets. If the total receipts from these passengers is $₹230$, find the number of passengers with $₹5$ tickets.

On a school picnic, a group of students agree to pay equally for the use of a full boat and pay $₹10$each. If there had been $3$ more students in the group, each would have paid $₹2$ less. How many students were there in the group?

Half of a herd of deer are grazing in the field and three fourths of the remaining are playing nearby. The rest $9$ are drinking water from the pond. Find the number of deer in the herd.

Sakshi takes some flowers in a basket and visits three temples one by one. At each temple, she offers one half of the flowers from the basket. If she is left with $6$ flowers at the end, find the number of flowers she had in the beginning.

If each side of a triangle is increased by $4\mathrm{cm},$ the ratio of the perimeters of the new triangle and the given triangle is $7: 5.$ Find the perimeter of the given triangle.

A streamer travels $90 \mathrm{km}$ downstream in the same time as it takes to travel $60 \mathrm{km}$ upstream. If the speed of the stream is $5 \mathrm{km}/\mathrm{h},$ find the speed of the streamer in still water in $\mathrm{km}/\mathrm{h}$