System of equations - high school - practice problems
Number of problems found: 933
- The sum 52
The sum of digits of a two digits number is 10. On interchanging the digit, the number obtained is 54 less than the original number. What is the original number? - The ratio 21
The ratio between the number of sides of two regular polygon is 1:2 and ratio of sum of their interior angles is 2:3. Find their number of sides. - The ages 3
The ages of A and B are in ratio of 5:4. Three years hence the ratio of their ages will become 11:9. What is the present age of B? - A rectangle 15
A rectangle is 5 cm longer its width. It areas is 6 cm square. What are the dimensions of the rectangle.
- A man 24
A man distributed 25300 EUR among his 3 sons A, B, C in such a way that the amounts of their parts at 10% simple interest in 2 years, 3 years, 4 years will be equal. A's share? - The angle 9
The angle of elevation of the top of a tower from a point A on the ground is 30°. On moving a distance of 20 m towards the foot of the tower to a point B, the angle of elevation increases to 60°. Find the height of the tower and the distance of the tower - The sum 51
The sum of two numbers is 100 and difference is 37 . Find the difference between their squares. - 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? - 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?
- 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? - 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?
- 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? - At present
At present, Ram is eight years younger than Susan, and Hari is two years younger. If the respective ratio between the present age of Ram and that of Hari is 3: 4, then what is Hari's present age? - Sum of squares
If the first number is 80% of the second number and 4 times the sum of their squares is 656, find the numbers. - By increasing
By increasing the speed of his car by 15 km/h, a person covers a 300 km distance in an hour less than before. What was the original speed?
Two men earn in the ratio 5 : 3 and expend in the ratio 9: 5. If each saves 30000 USD every year, find their income.Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
