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x = 5, y = 2 is a solution of the linear equation
Substituting x = 5, y = 2 in equation x + y = 7 we get 5 + 2 = 7
If the point (3, 4) lies on the graph of 3y = ax + 7 then the value of a is
What is the solution of \(\dfrac{3y+4}{2}+\dfrac{2y5}{3}=\dfrac{31}{2} \)
If the point (2P, P – 3) lies on the graph of \(3x+2y+12=0 \). Find the value of P.
If the expression y – 10 and 2y – y are equal, what is the value of y?
Find x if \(\dfrac{x2}{x+3}=\dfrac{x+2}{x3},x\ne3,\ x\ne3 \)
A man is five times as old as his son after 2 years the man will be four times as old as his son what is the present age of the man?
Let the present age of son = x and man = 5x
A/Q
Man years
The function f(x) = 35 + 15x represents the amount of money in rupees. Mr. Ramesh earns for working x hours. How much money does Ramesh earn for working 25 hours?
Amount
Two planes start from a city and fly in opposite directions, one with an average speed of 40 km/hr greater than the second. If they are 3400 km apart from 5 hours, find the sum of their average speeds
Speed of one plane = x km/hr
speed of another plane km/hr
Distance travelled by first plane in 5 hours
Distance travelled by second plane in 5 hours
A/Q
D
D
km/hr
Sum of speeds km/hr
A lending library has a fixed charge for the first three days and an additional charge for each day thereafter Aarushi paid Rs 27 for a book kept for 7 days. If fixed charges are Rs x and per day charges are Rs y. Write the linear equation
A number is 27 more than the number obtained by reversing its digits. If its unit’s and ten’s digit are x and y respectively. write the linear equation
Original number
Interchanging number
If \(x = 1\) and \(y = 6\) is a solution of \( 8xay+a^2=0\), The values of a are
A fraction becomes \(\dfrac{1}{4} \), when 2 is subtracted from the numerator and 3 is added to the denominator. The linear equation is
Let the numerator be x and denominator be y
Solve for \(y: \dfrac{3y+2}{7}+\dfrac{4(y+1)}{5}=\dfrac{2}{3}(2y+1) \)
The angles of a pentagon are in the ratio \(2:3:3:3:4 \). Find the least angle of pentagon
Sum of integer angles
Least angle
A woman sells to the first customer half her stock of apples and half an apple, to the second customer she sells half her remaining stock and half an apple, and so on to the third and to the fourth customer. She finds that she has now 15 apples left. How many apples did she have before she started selling?
Suppose she had x apples
Sold to the first customer
Remaining stock
Sold to the second customer
Remaining stock
Sold to the third customer
Remaining stock
Sold to the fourth customer
So,
When a ball bounces, it rises to \(\dfrac{3}{4} \) of the height from which it fell. If the ball is dropped from a height of 32 m, how high will it rise at the third bounce?
First bounce
Second bounce
Third bounce