List of top Mathematics Questions on Linear Equations

Aarush bought 2 pencils and 3 chocolates for Rs 11 and Tanish bought 1 pencil and 2 chocolates for Rs 7 from the same shop. Represent this situation in the form of a pair of linear equations. Find the price of 1 pencil and 1 chocolate, graphically.
In a shop, the cost of 3 pens and 3 pencils is Rs. 9 and the cost of 4 pens and 6 pencils is Rs. 14. The cost of each pencil in Rs. is:
Five years ago, A was three times as old as B. Now, A is twice as old as B. What is A's current age?
X,Y,W,Z jointly purchased an office space for Rs 84 lakhs. The amount contributed by Y, W and Z put together is three times of X. The amount contributed by X, W and Z put together is 320% of Y. Further, the amount contributed by W is 20% of X, Y and Z put together. What is the contribution of Z?
Runs scored by Sachin in a charity match are 10 more than the balls faced by Lara. The number of balls faced by Sachin is 5 less than the runs scored by Lara. Together, they have scored 105 runs and Sachin faced 10 balls less than the balls faced by Lara. How many runs were scored by Sachin?
Say 10600 is divided into positive quantities A, B, C, and D. Use the following information to find the value of D: If you remove A, the average of the other 3 numbers is 1000. If you remove B, the average of the other 3 numbers is 3220. If you remove C, the average of the other 3 numbers is 3180.
An examination consists of 160 questions. One mark is given for every correct option. If a 1/4 mark is deducted for each wrong option and a half mark is deducted for every unanswered question, the person scores 79. If half a mark is deducted for every wrong option and 1/4 mark is deducted for every unanswered question, the person scores 76. Find the number of correct answers he wrote?
The sum of X, Y, W, and Z is 84. The sum of Y, W, and Z is three times X. The sum of X, W, and Z is 320% of Y. W is 20% of the sum of X, Y, and Z. Find the value of Z.
Ten people went out for dinner. Nine of them contributed ₹400 each, while the tenth person contributed an amount that was ₹900 more than the average contribution of the entire group. How much did the tenth person contribute?
The sum of four numbers A, B, C, and D is 10,600. Without A, the average of B, C, and D is 1,000. Without B, the average of A, C, and D is 3,220. Without C, the average of A, B, and D is 3,180. Find the value of D.
If \(x,y,z\) satisfy \[ x+y+z=1, \] \[ 4x+9y+16z=25, \] \[ 16x+18y+256z=625, \] find the value of \(x\):
A jar contains a mixture of two liquids A and B in the ratio \(4:1\). When \(10\) liters of the mixture is taken out and \(10\) liters of liquid B is poured into the jar, the ratio becomes \(2:3\). How many liters of liquid A was contained in the jar initially?
If the system of linear equations
Let \(a,b\in\mathbb{R}\). If the system of linear equations
If the sum of two numbers is 8 and their difference is 2, then those two numbers are _____.
The pair of linear equations $x-y-1=0$ and $x-2y+2=0$ represents _____ lines.
If two linear equations represent the same line, then the pair of linear equations has _____.
Loan at 12% SI for 3 years gives Rs. 5400 interest. Find principal.
The sum of the first \(10\) terms of an A.P. is \(150\). If the first term is \(10\), what is the common difference?
The system of equations $x + 2y = 3$ and $2x + 3y = 3$ has
Find \(x\): \(2x + 3 = 7x - 8\).
Find \(x\): \(4(x - 2) = 3(x + 5)\).
Assertion (A) : \((\sqrt{3} + \sqrt{5})\) is an irrational number.
Reason (R) : Sum of the any two irrational numbers is always irrational.
Evaluate the series \[ \frac{1}{25!}+\frac{1}{3!\,23!}+\frac{1}{5!\,21!}+\cdots \text{ up to 13 terms.} \]
Find the number of real solutions of \[ x|x-3|+|x-1|+3=0 \]