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
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.
APPEARS IN
RELATED QUESTIONS
Solve the following system of equations: 15x + 4y = 61; 4x + 15y = 72
Solve for x and y : `\frac { ax }{ b } – \frac { by }{ a } = a + b ; ax – by = 2ab`
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 solution (if they exist) by the elimination method:
If we add 1 to the numerator and subtract 1 from the denominator, a fraction reduces to 1. It becomes `1/2` if we only add 1 to the denominator. What is the fraction?
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:
The sum of the digits of a two-digit number is 9. Also, nine times this number is twice the number obtained by reversing the order of the digits. Find the number.
Two types of boxes A, B are to be placed in a truck having a capacity of 10 tons. When 150 boxes of type A and 100 boxes of type B are loaded in the truck, it weighes 10 tons. But when 260 boxes of type A are loaded in the truck, it can still accommodate 40 boxes of type B, so that it is fully loaded. Find the weight of each type of box.
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.
In an envelope there are some 5 rupee notes and some 10 rupee notes. Total amount of these notes together is 350 rupees. Number of 5 rupee notes are less by 10 than twice number of 10 rupee notes. Then find the number of 5 rupee and 10 rupee notes.
If the length of a rectangle is reduced by 5 units and its breadth is increased by 3 units, then the area of the rectangle is reduced by 9 square units. If length is reduced by 3 units and breadth is increased by 2 units, then the area of rectangle will increase by 67 square units. Then find the length and breadth of the rectangle.
Solve the following simultaneous equation.
x - 2y = -1 ; 2x - y = 7
Solve the following simultaneous equation.
`2/x + 3/y = 13` ; `5/x - 4/y = -2`
By equating coefficients of variables, solve the following equation.
5x + 7y = 17 ; 3x - 2y = 4
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.
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
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.
