English
Maharashtra State BoardSSC (English Medium) 9th Standard

Ajay is younger than Vijay by 5 years. Sum of their ages is 25 years. What is Ajay's age?

Advertisements
Advertisements

Question

Ajay is younger than Vijay by 5 years. Sum of their ages is 25 years. What is Ajay's age?

Options

  • 20

  • 15

  • 10

  • 5

MCQ
Advertisements

Solution

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.

shaalaa.com
  Is there an error in this question or solution?
Chapter 5: Linear Equations in Two Variables - Problem Set 5 [Page 91]

APPEARS IN

Balbharati Mathematics 1 [English] Standard 9 Maharashtra State Board
Chapter 5 Linear Equations in Two Variables
Problem Set 5 | Q (1) (iii) | Page 91

RELATED QUESTIONS

Solve the following system of linear equations by using the method of elimination by equating the coefficients √3x – √2y = √3 = ; √5x – √3y = √2


Solve for x and y : `\frac { ax }{ b } – \frac { by }{ a } = a + b ; ax – by = 2ab`


Solve (a – b) x + (a + b) y = `a^2 – 2ab – b^2 (a + b) (x + y) = a^2 + b^2`


Solve the following pair of linear equation by the elimination method and the substitution method.

3x – 5y – 4 = 0 and 9x = 2y + 7


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`


Form the pair of linear equation in the following problem, and find its solutions (if they exist) by the elimination method:

Five years ago, Nuri was thrice as old as Sonu. Ten years later, Nuri will be twice as old as Sonu. How old are Nuri and Sonu?


Form the pair of linear equation in the following problem, and find its solution (if they exist) by the elimination method:

Meena went to a bank to withdraw ₹ 2000. She asked the cashier to give her ₹ 50 and ₹ 100 notes only. Meena got 25 notes in all. Find how many notes of ₹ 50 and ₹ 100 she received.


Out of 1900 km, Vishal travelled some distance by bus and some by aeroplane. The bus travels with an average speed of 60 km/hr and the average speed of the aeroplane is 700 km/hr. It takes 5 hours to complete the journey. Find the distance, Vishal travelled by bus.


Solve the following simultaneous equation.

x - 2y = -1 ; 2x - y = 7


Solve the following simultaneous equation.

x + y = 11 ; 2x - 3y = 7 


Solve the following simultaneous equation.

`x/3 + 5y = 13 ; 2x + y/2 = 19`


By equating coefficients of variables, solve the following equations.

3x - 4y = 7; 5x + 2y = 3


By equating coefficients of variables, solve the following equation.

x − 2y = −10 ; 3x − 5y = −12


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.


Complete the following table to draw the graph of 3x – 2y = 18.

x 0 4 2 –1
y –9 ______ ______ ______
(x, y) (0, −9) (______, _______) (______, _______) ______

Solve: 99x + 101y = 499; 101x + 99y = 501


The semi perimeter of a rectangular shape garden is 36 m. The length of the garden is 4 m more than its breadth. Find the length and the breadth of the garden.


Rehana went to a bank to withdraw ₹ 2000. She asked the cashier to give her ₹ 50 and ₹ 100 notes only. Rehana got 25 notes in all. Find how many notes of ₹ 50 and ₹ 100 did she received.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×