Advertisements
Advertisements
प्रश्न
Ajay is younger than Vijay by 5 years. Sum of their ages is 25 years. What is Ajay's age?
पर्याय
20
15
10
5
Advertisements
उत्तर
10
Explanation:
Let Ajay's age be x years and Vijay's age be y years.
Ajay is younger than Vijay by 5 years.
y - x = 5 ...(I)
Sum of their ages is 25 years.
x + y = 25 ...(II)
Adding (I) and (II) we have
2y = 30
⇒ y = 15
x = 10
Thus, Ajay's age is 10 years.
APPEARS IN
संबंधित प्रश्न
Solve the following system of linear equations by applying the method of elimination by equating the coefficients
(i)4x – 3y = 4
2x + 4y = 3
(ii)5x – 6y = 8
3x + 2y = 6
Solve the following system of linear equations by using the method of elimination by equating the coefficients √3x – √2y = √3 = ; √5x – √3y = √2
Solve the following system of linear equations :
2(ax – by) + (a + 4b) = 0
2(bx + ay) + (b – 4a) = 0
Solve the following pair of linear equation by the elimination method and the substitution method.
`x/2 + (2y)/3 = -1 and x - y /3 = 3`
Sanjay gets fixed monthly income. Every year there is a certain increment in his salary. After 4 years, his monthly salary was Rs. 4500 and after 10 years his monthly salary became 5400 rupees, then find his original salary and yearly increment.
The sum of the digits in a two-digits number is 9. The number obtained by interchanging the digits exceeds the original number by 27. Find the two-digit number.
Solve the following simultaneous equation.
`x/3 + y/4 = 4; x/2 - y/4 = 1`
By equating coefficients of variables, solve the following equation.
4x + y = 34 ; x + 4y = 16
A fraction becomes `(1)/(3)` when 2 is subtracted from the numerator and it becomes `(1)/(2)` when 1 is subtracted from the denominator. Find the fraction.
The difference between an angle and its complement is 10° find measure of the larger angle.
Complete the activity.

Difference between two numbers is 3. The sum of three times the bigger number and two times the smaller number is 19. Then find the numbers.
Solve: 99x + 101y = 499; 101x + 99y = 501
The length of the rectangle is 5 more than twice its breadth. The perimeter of a rectangle is 52 cm, then find the length of the rectangle.
The angles of a triangle are x, y and 40°. The difference between the two angles x and y is 30°. Find x and y.
The age of the father is twice the sum of the ages of his two children. After 20 years, his age will be equal to the sum of the ages of his children. Find the age of the father.
Evaluate: (1004)3
Read the following passage:
Two schools 'P' and 'Q' decided to award prizes to their students for two games of Hockey ₹ x per student and Cricket ₹ y per student. School 'P' decided to award a total of ₹ 9,500 for the two games to 5 and 4 Students respectively; while school 'Q' decided to award ₹ 7,370 for the two games to 4 and 3 students respectively.![]() |
Based on the above information, answer the following questions:
- Represent the following information algebraically (in terms of x and y).
- (a) What is the prize amount for hockey?
OR
(b) Prize amount on which game is more and by how much? - What will be the total prize amount if there are 2 students each from two games?

