Equations practice problems
An equation is a statement that asserts the equality of two expressions, which are connected by the equals sign =. Solving an equation containing variables consists of determining which values of the variables make the equality true. The variables for which the equation has to be solved are also called unknowns, and the values of the unknowns that satisfy the equality are called solutions of the equation.Number of problems found: 4307
- A reduction
A reduction of 40% in the price of mango would enable a buyer to get 2 kg more for Rs 90. Find the initial/original price of mango per kg.
- The average 13
The average of 6 consecutive odd numbers is 64. Find the greatest number.
- Cows and hens
In a group of cows and hens, the number of legs are 14 more than twice the number of heads. Find the number of cows.
- X and Y
X and Y are positive integers. If X+Y+XY=32, what is the difference between X and Y?
- The population 4
The population of a city is decreasing at a rate of 2% per year. The population in 2002 was 700,000. What would be the population in 2009?
- Two angles
If one angle of a paralleogram is 24° less than twice the smallest angle, then find the largest angle of the parallelogram.
- Students 48
If 80% of the students of a school are boys and 225 are girls, find the number of all students.
- Three workers
A can do a work in 16 hours and B alone in 24 hours. If A, B and C working together can finish it in 8 hours, then C alone can finish it in how many hours?
- Adjust numerators
If the numerator of a fraction is increased by 2 and the denominator by 1, it becomes 5/8. If the numerator and the denominator of the same fraction are each increased by 1, the fraction becomes 1/2. Find the fraction.
- A rectangle 14
A rectangle is 8 cm long and 5 cm wide. Its perimeter is doubled when each of its sides is increased by x cm. From an equation in x find the new length of the rectangle.
- The sum 47
The sum of 3 numbers in an arithmetic progression (AP) is 15. If 1,4,19 are to be added to the above numbers respectively, it formed a geometric progression (GP). Find the numbers.
- A,B,C,D
A, B, C, D are four consecutive odd integers and their average is 42. What is the product of B and D?
- Secondary 5
Secondary Middle School has 1200 students. Each student takes 5 classes a day. Each teacher teaches 4 classes. Each class has 30 students and 1 teacher. How many teachers are there at Secondary Middle School?
- A trader
A trader sold two saree at Rs 96 each & it causes the same% of profit and loss to each saree. If, as a whole he gets total loss of 4%, then what is the gain/loss% in the sale?
- A thief
A thief is spotted by a policeman from a distance of 100 metres. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 8 km/hr and that of the policeman 10 km/hr . How far the thief will have run before he is ove
- Two parts of a run
Adam can cover a certain distance in 1 hr 24 min by covering two third at 4 km/hr and the rest at 5 km/hr. Find the total distance.
- A boat
A boat covers 20 km in an hour with down stream and covers the same distance in 2 h with upstream. Then, find the speed of the boat in still water and speed of stream.
- Two trains 10
Two trains of lengths 75 m and 95 m are moving in the same direction at 9 m/s and 8 m/s, respectively. Find the time taken by the faster train to cross the slower train.
- Interest over time
If certain sum at compound interest becomes double in 5 years, then, in how many years, it will be 16 times at the same rate of interest?
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