Linear Equations Questions

The value of x for which the expressions 5x+17 and 17x−5 become equal is __________.

A bag contains a total of 180 coins in the denominations of ₹5 and ₹1. Find the number of ₹5 coins in the bag, if the total value of the coins is ₹500.

The ratio of present ages of Ratnabali and Shaukat is $8:5$. After 22 years the ratio of their ages will be $10:9$. At present, what is Ratnabali's age?

Determine the value of '$r$ ' for which the equation $13x+5=rx+18$ has no solution.

If $23x+23y=184$, then what is the average of $x$ and $y$?

Two cars travel from city A to city B at a speed of $42\text{km/hr}$ and $60\text{km/hr}$ respectively. If one car takes 2 hours lesser time than the other car for the journey, then the distance between City A and City B is:

If $(8-10x)-(13x-2)=-9$, then the value of $x$ is:

Two cars travel from city A to city B at a speed of 60 and 108 km/hr respectively. If one car takes 2 hours lesser time than the other car for the journey, then the distance between City A and City B?

If (4x−5)=(3x−1), then the numerical value of (x+4)
2
is

If 31% of an electricity bill is deducted, Rs 1794 is still to be paid. How much was the original bill amount?

If 51.97−(81.18−x)−59.39=5.268, then value of x will be

If $3x-10=-(2x+5)$, then the numerical value of $(x-4{)}^3$ is:

If 3x−8(2−x)=−19, then the value of x is:

A man travels 400km, partly by rail and partly by steamer. He spends 9 hours more time on steamer. If the velocity of the steamer is 30km/hr and the velocity of rail is 70km/hr, how much distance does he cover by steamer?

Two students appeared for an examination. One of them secured 19 marks more than the other and his marks were 60% of the sum of their marks. The marks obtained by them are:

Raheem sells a machine for Rs 48 lakhs at a loss. Had he sold it for Rs 60 lakh, his gain would have been 5 times the former loss. Find the cost price of the machine.

If (9−3x)−(17x−10)=−1, then the value of x is:

A man travels 434km, partly by rail and partly by steamer. He spends 8 hours more time on the steamer. If the velocity of the steamer is 25km/hr and the velocity of rail is 65km/hr, how much distance does he cover by steamer?

The value of x for which the expressions 11x+7 and 17x−1 become equal is:

Two students appeared for an examination. One of them secured 21 marks more than the other and his marks were 80% of the sum of their marks. The marks obtained by them are:

Product of digits of a 2-digit number is 72. If we add 9 to the number, the new number obtained is a number formed by interchange of the digits. Find the number.

An engineering student has to secure $36\%$ marks to pass. He gets $53$ marks and fails by $37$ marks. Find the maximum marks.

To travel $708\text{km}$, an Express train takes $6\text{ hours}$ more than Rajdhani train. If however, the speed of the Express train is doubled, it takes $3\text{ hours}$ less than Rajdhani train. What is the speed of Rajdhani train?

If $5A=13B=7C$, find the value of $A:B:C$.

The sum of two numbers is 19, while the difference between the two numbers is 3. Find the smaller number out of these two numbers.

On selling a television at a $6\%$ profit and a fridge at a $9\%$ profit, a shopkeeper gains $\text{Rs. }5,100$. However, if the shopkeeper sells the television at a $9\%$ profit and the fridge at a $6\%$ loss, he gains $\text{Rs. }1,800$ on the whole transaction. The cost price (in $\text{Rs.}$) of the fridge is:

If (x+10)% of 300 is 57.5% more than x% of 250, then 15% of x is what percentage less than 20% of (x+13)?

If 70 is subtracted from 70% of a number, the remainder is 70. What is the number?