Linear Equation Quiz 12

A mother said to her son “The sum of our present ages is twice my age 12 years ago and 9 years hence, the sum of our ages will be thrice my age 14 years ago”. What is her son’s present age ? (in years)

Ram has 18 coins in the denominations of Rs.1, Rs. 2 and Rs.5. If their total value is Rs. 54 and the number of Rs. 2 coins are greater than of Rs. 5 coins. Then find the number of Rs. 1 coins with him.

Ram, Shyam,Tarun and Varun together had a total amount of Rs. 240 with them. Ram had half of the total amount with the others. Shyam had one-third of the total amount with the others. Tarun had one-fourth of the total mount with the others. Find the amount with Varun (in Rs.).

A sum of Rs. 400 was distributed among the students of a class. Each boy received Rs. 8 and each girl received Rs. 4. If each girl had received Rs. 10, then each boy would have received Rs. 5. Find the total number of students of the class.

Ramu had 13 notes in the denominations of Rs. 10, Rs. 50 and Rs. 100. The total value of the notes with him was Rs. 830. He had more of Rs. 100 notes than that of Rs. 50 notes with him. Find the number of Rs. 10 notes with him.

Dheeraj has twice as many sisters as he has brothers. If Deepa, Dheeraj’s sister has the same number of brothers as she has sisters, then Deepa has how many brothers ?

The general form of the linear equation in two variables x, y is ………

If the sum of two numbers is 640 and their difference is 280. Then the numbers are …………

The value of ‘m’ in the pair of equations 4x + my + 9 = 0; 3x + 4y + 8 = 0 to have unique solution is …………

A two-digit number is formed by either subtracting 17 from nine times the sum of the digits or by adding 21 to 13 times the difference of the digits. Find the number.