Equation + system of equations - practice problems
Number of problems found: 1396
- Digits sum
A two digit number is 3 times the sum of its digits. If 45 is added to the number, its digits are interchanged. Find the sum of the digits of the number. - 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 - 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.
- 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) - 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.
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