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: 4250
- Parallel tracks
Two trains cross each other in 14 seconds when running in opposite directions along parallel tracks. The faster train is 160 m long and crosses a lamp post in 12 seconds. If the speed of the other train is 6 km/hr less than the faster one, its length, in - Numerators and denominators
A fraction becomes 9/11, if 2 is added to both the numerator and the denominator. If, 3 is added to both the numerator and the denominator it becomes 5/6 . Find the fraction. - Two syrups
There are two pots of mixture of syrup and water having ratios 3:2 & 4:5 respectively. What quantity of solution of 1st pot is to be mixed with 3 litre of 2nd pot to get a new mixture where both syrup and water will be same? - Unknown en
I think of a number. If I subtract 9 from it and multiply this difference by 4, the result is 128. Form an equation and solve it to find the number.
- The sum 46
The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age of the youngest child? - Money sharing
A sum of money is to be distributed among A, B, C, and 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 29 km in 8 hours altogether, 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
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 the 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 between a proper fraction and its reciprocal is 7/12. Find the fraction. - Roland 2
Roland sold his watch at a 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, is 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 - Students
In a school, 2/5 of the total number of students come by car while 1/4 by bus, and others walk to school, of which 1/3 walk on their own and the rest are escorted by their parents. If 224 students come to school walking on their own. Find the total number
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