System of equations - practice problems - page 3 of 103
Number of problems found: 2041
- Three Numbers GP
The sum of three Numbers in geometric progression (GP) is 38, and their product is 1728. Find the Numbers. - The library
A certain number of people agreed to contribute equally to buy books worth $12000 for a school library. Five people pulled out, so others agreed to contribute an extra $100 each. Their contribution enabled them to buy books worth $ 2000 more than they ori - Ann and Susan
The difference between the present ages of Ann and Susan is 6 years. After 4 years ratio will be 3:4. What can be the present age of Susan? - The common difference
Find the common difference of an arithmetic progression (AP), whose 1st term is 5 and the sum of its 1st 4 terms is half the sum of the next four terms.
- Billy 2
Billy has 3/4 of the money Derek has, and Derek has 7/9 of the Jason has. If they have a total of $680. How much does each person has? - Walker
Walker A takes 3 hours more than B in walking 30 km. If A doubles his speed, he will take 2 h less than walker B. Find the speeds of walkers A and B . - Number 77
Find a number which is as much greater than 31 as it is less than 77. Many failed to do it! - Milk mixture
In a container, milk and water are 7:5. If 15 L water is added, the ratio becomes 7:8. Find the quantity of water in the new mixture. - A reduction
A 40% reduction in the price of mango would enable a buyer to get 2 kg more for Rs 90. Find the initial/original price of mango per kg.
- River current
In a river, a man takes 3 hours in rowing 3 km upstream or 15 km downstream. What is the speed of the current? - Two angles
If one angle of a parallelogram is 24° less than twice the smallest angle, then find the largest angle of the parallelogram. - Adjust numerators
If the numerator of a fraction is increased by 2 and the denominator by 1, it becomes 5/8. If the numerator and the denominator of the same fraction are each increased by 1, the fraction becomes 1/2. Find the fraction. - The sum 47
The sum of 3 numbers in an arithmetic progression (AP) is 15. If 1,4,19 are to be added to the above numbers respectively, it formed a geometric progression (GP). Find the numbers. - A trader
A trader sold two saree at Rs 96 each & it causes the same% of profit and loss to each saree. If, as a whole he gets total loss of 4%, then what is the gain/loss% in the sale?
- A boat
A boat covers 20 km in an hour downstream and covers the same distance in 2 hours upstream. Then, find the speed of the boat in still water and the speed of the stream. - Numbers at ratio 2
Two numbers are in the ratio 3:5. If each number is increased by 10, the ratio becomes 5:7. Find the sum of the numbers. - AVR - three friends $2250 is divided among three friends, Ajay, Vijay, and Raj, in such a way that 1/6th of Ajay's share, 1/4th of Vijay's share, and 2/5th of Raj's share is equal. Find Ajay's share.
- 37 pens
Thirty-seven pens and 53 pencils together cost 95.5 USD, while 53 pens and 37 pencils together cost 111.5 USD. Find the cost of a pen and a pencil. - Three numbers
In three numbers, the first number is double the second number, and the second number is double the third. The average of the numbers is 21. Find the least number.
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