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: 4245
- Money sharing
A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets 1000 USD more than D, what is B's share? - A man 18
A man walks for t1 hours at 4 km/h and then for t2 hours at 3 km/h . If he walks altogether 29 km in 8 hours, find the value of t1 and t2 respectively. - 280 oranges
280 oranges are divided among 50 girls and boys so that each boy gets 5 oranges and each girl gets 7 oranges. How many girls are there? - A pair 2
Jane is 5 years older than Tom. In 3 years, the sum of their ages will be 41. How old are Jane and Tom now?
- A provision
A John had provisions for a certain number of days. After 10 days 1/5 of the men desert and he is found that the provisions will now last just as long as before. How long was that? - Sum of squares
The product of two numbers is 12. If sum of their squares is 40, find the numbers. - An expensive watch
A watch when sold at a profit of 6% yields $ 870 more than when it is sold at a loss of 6% . Find the cost price of the watch. - The sum of squares
The sum of the squares of two numbers is 233 and one of the numbers is 3 less than twice the other. Find the numbers. - Two towns
X and Y are two towns . A man goes from town X to town Y at an average speed of 30km/h and returns at the average speed 20km/h. Find the distance between the two towns if the man takes 10 hours on the whole.
- The difference 7
The difference of a proper fraction and its reciprocal is 7/12. Find the fraction. - Roland 2
Roland sold his watch at 15% loss. If he had sold it for 210 USD more, he would have made a profit of 20%. Find the cost of price of the watch. - Father and son 10
Two years ago, Philip was 3 times as old as his son, and 2 years hence, twice his age will be equal to 5 times that of his son. Find their present ages. - Two places 3
The distance between two places A and B 90 km. Two cars start together from A and B .If both the cars go in the same direction, they meet after 9 hours and if they go in opposite directions they meet after 9/7 hours . Find their speeds .(Assume that A has - Students
In a school 2/5 of total numbers of students comes by car while 1/4 by bus, and others walks to school, of which 1/3 walks on their own and rest are escorted by their parents. If 224 students comes to school walking on their own. Find the total number of
- An adventurer
An adventurer makes 2/5 of a car trip, 1/3 on horseback and the rest on foot he walks 80 km. What is the total length of your route? - Kevin and Mary
Kevin is 4 times as old as Mary was 2 years ago. In seven years Mary will be as old as Kevin is now. How old are they now. - Two persons
Two persons are walking beside a railway track at respective speeds of 2 and 4 km per hour in the same direction. A train came from behind them and crossed them in 90 and 100 seconds, respectively. Find the length of the train. - PC and laptop
A person spent Rs 50000 to purchase a desktop computer and a laptop computer. He sold the desktop at a 20% profit and the laptop at a 10% loss. If, overall, he made a 2% profit, then find the purchase price, in rupees, for the desktop. - Train same direction
Find the time taken by a train 170 m long, running at the speed of 83 km/h to cross another train 180 m running at the speed of 65 km/h in the same direction .
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