System of equations - practice problems
Number of problems found: 2041
- Susan 5
Susan has a water tank in his back garden that can hold up to 750L in water. At the start of a rainy day (at 0:00) there is 165L in the tank, and after a heavy day’s rain (at 24:00) there is 201 L in the tank. Assuming that the rain fell consistently duri
- The sum 51
The sum of two numbers is 100 and difference is 37 . Find the difference between their squares.
- 5 yrs
5 yrs ago, the average age of Rasmi and Suravi was 20 yr. Now, the average age of Rasmi, Suravi and Mita is 30 yrs. What will be the age of Mita after 15 years?
- The boat
A boatman goes 2 km against the stream in 40 minutes and returns to the same spot in 30 minutes. What is his rate of rowing in still water?
- A plane 3
A plane left 30 minutes later than the scheduled time and in order to reach the destination 1500 km away in time, it has to increase the speed by 250 km/hr from the usual speed. Find its usual speed.
- Dual profit
A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest 18%. He gains 14% on the whole. Find the quantity of 8% profit.
- Two trains 16
Two trains cross each other in 14 seconds when they are moving in opposite direction and when they are moving in the same direction they cross each other in 3 minutes 2 seconds . The speed of the faster train is by what percent more than the slower train?
- Horses and hens
In a park, there are some horses and some hens. If total number of heads 68 and number of legs together is 198. Then find the number of hens in the park.
- Usual speed 2
A passenger train takes 1 h less for a journey of 120 km.If its speed increased by 10 k/h from its usual speed. What is its usual speed?
- The supplementary angles
Two supplementary angles differ by 50°, find the measure of each angle.
- Shares
1300 USD are divided among A, B, C and D in such a way that: share of (A/B)=(B/C)=(C/D) = (2/3)
- Three people
Three people - Peter, Quinton and Roland. 5 years ago, the average age of P and Q was 15 years. Present average age of P, Q and R is 20 years. Find the age of R after 10 years.
- Monthly income
There are three working people - X, Y, Z. The average monthly income of X and Y is 5050 USD.The average monthly income of Y and Z is 6250 USD, and the average monthly income of X and Z is 5200 USD. What is monthly income of X?
- 5 years
5 years ago the age of a father was thrice the age of his son. In 5 years time, the age of the father will be twice the age of his son at that time. Find their present ages.
- Money exchange
A told B, "If you give me 1/3 of your money I'll be 50 USD". In turn B told A, " If you give me 9 USD then we'll be the same amount of money". Find their money.
- Work in factory
45 men can complete a work in 16 days, but after some days they started working 30 more men joined them and completed the remaining work in 6 days. How many days after the commencement of the job did 30 men join?
- Palidrom
A number consists of two digits whose product is 24. When 18 is subtracted from the number, the digits change their places. Find the number.
- Reciprocals - sum
The sum of the two numbers is 15. If the sum of their reciprocals is 5/18, find the numbers.
- Twins 2
The average age of a man and his two twin sons is 30 years. The ratio of the ages of father and one son is 5 : 2, what is the father's age?
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