Equations practice problems - page 2 of 242
Number of problems found: 4829
- Last Friday
3/4 of the children were present at school last Friday. If 90 children were present, how many were absent? - 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 the digits of a two-digit number is 10. When the digits are interchanged, the resulting number is 54 less than the original. What is the original number? - The ratio 21
The ratio of the number of sides of two regular polygons is 1:2 and the ratio of the sum of their interior angles is 2:3. Find the number of sides of each polygon. - Two friends 5
Two friends, X and Y: X is 36 years old and Y is 16 years old. In how many years will X be twice as old as Y? - The ages 3
The ages of A and B are in the ratio 5:4. Three years from now, the ratio of their ages will be 11:9. What is B's present age? - A rectangle 15
A rectangle is 5 cm longer than its width. Its area is 6 cm². What are the dimensions of the rectangle? - Subtracting 7
Subtracting 50 from 50% of a number gives 50. Find the number. - A man 24
A man distributed €25,300 among his 3 sons A, B, and C such that the amounts of their portions, with 10% simple interest over 2 years, 3 years, and 4 years respectively, will be equal. What is A's share? - Train station
A man walks from his house to the station. If he walks at 5 km/h, he misses a train by 7 minutes. However, if he walks at 6 km/h, he reaches the station 5 minutes before the train departs. Find the distance from his house to the station. - Two masons
Mason A can build a wall in 30 days, while Mason B can build it in 40 days. If they build it together and receive a payment of $7,000, what is B's share? - The length 20
The length and width of a rectangular park are in the ratio 8:5. A path 1.5 m wide, running all around the outside of the park, has an area of 594 m². Find the dimensions of the park. - A field
A field is in the shape of a trapezium whose parallel sides are 25 m and 10 m and whose non-parallel sides are 14 m and 13 m. Find the area of the field. - The average 17
The average monthly salary of 20 workers in an office is $4,590. If the manager's salary is added, the average salary becomes $4,920 per month. What is the manager's monthly salary? - The product 18
The product of two consecutive natural numbers that are multiples of 3 is 810. Find the two numbers. - Four numbers 3
What is the smallest number that must be added to each of the numbers 6, 15, 20, and 43 to make them proportional? - The angle 9
The angle of elevation of the top of a tower from a point A on the ground is 30°. On moving 20 m closer to 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 from point A - Surface = volume
If the volume and the surface area of a sphere are numerically equal, find its radius. - GP - terms
Which term of the geometric progression 2, 8, 32, … is 131,072? - Collecting money
Rs 180 is contained in a box in one-rupee, 50-paise, and 25-paise coins in the ratio 2:3:4. What is the number of 50-paise coins? (One rupee = 100 paise)
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