Linear Equations Questions

The average cost of a pencil is ₹8 and the average cost of an eraser is ₹4. The cost of 8 erasers, 4 pencils and 12 sharpeners are ₹148. The average cost of a sharpener is ₹ ______.

A teacher travelled a distance of 22km in 7 hours. He travelled partly on foot at the speed of 2km/h and partly on bicycle at the rate of 4km/h. The distance travelled on foot is:

A lady said, "If you reverse my age digits, you'll get my husband's age. He is older, and the difference between their ages is one-eleventh of their sum." What is the man's age?

The two equations $3x+6y=15$ and $6x+12y=30$ have

Total expenses of a hostel are partly constant and partly vary directly as the number of boarders. When the number of boarders is $120$ and $100$, the total expenses are $\text{Rs. }2000$ and $\text{Rs. }1700$ respectively. Find the total number of boarders if the total expense is $\text{Rs. }1880$.

The sum of three consecutive multiples of $3$ is $72$. What is the largest number among them?

Rohan appeared for the Global Talent Search Examination wherein $4$ marks are awarded for every correct answer and $1$ mark is deducted for every wrong answer. Rohan attempted all the $60$ questions and secured $130$ marks. What would have been his score if there was no negative marking?

A contractor employed $100$ labourers, both male and female. Each female labourer receives $\text{Rs. }144$ as daily wages while each male labourer receives $\text{Rs. }96$ as daily wages. If the contractor distributes $\text{Rs. }12,480$ daily as wages, how many more female labourers did he employ than male labourers?

The age of a father is twice that of his elder son. Ten years hence, the age of the father will be three times that of his younger son. If the difference between the ages of the two sons is $15\text{years}$, the current age of the father is:

In a certain examination, a candidate answered $25$ questions and two-fifth of the rest of the total number of questions, and he found that he has answered only $60\%$ of the total number of questions. How many questions did he answer?

A man travels $800\text{ km}$ partly by rail and partly by steamer. He spends $7\text{ hours}$ more time on the steamer. If the velocity of the steamer is $20\text{ km/hr}$ and the velocity of the rail is $55\text{ km/hr}$, how much distance does he cover by steamer?