# System of equations - practice problems

#### Number of problems found: 1973

- Two angles

If one angle of a paralleogram 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 with down stream and covers the same distance in 2 h with upstream. Then, find the speed of the boat in still water and speed of 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

37 pens and 53 pencils together cost 95.5 USD while 53 pens and 37 pencils together cost 111.5 USD. Find the cost pf a pen and that of a pencil . - Three numbers

In three numbers, first number is double of the second number and second number is double of the third. The average of the numbers is 21. Find the least number.

- HCF and LCM equation

The LCM of two numbers is 20 times of their HCF and (LCM+HCF)=2520. If one number is 480, what will be the triple of another number? - Numerators and denominators

A fraction becomes 9/11, if 2 is added to both the numerator and the denominator. If, 3 is added to both the numerator and the denominator it becomes 5/6 . Find the fraction. - A man 18

A man walks for t1 hours at 4 km/h and then for t2 hours at 3 km/h. If he walks 29 km in 8 hours altogether, find the value of t1 and t2, respectively. - 280 oranges

280 oranges are divided among 50 girls and boys so that each boy gets 5 oranges and each girl gets 7 oranges. How many girls are there? - A pair 2

Jane is 5 years older than Tom. In 3 years, the sum of their ages will be 41. How old are Jane and Tom now?

- Sum of squares

The product of two numbers is 12. If the sum of their squares is 40, find the numbers. - The sum of squares

The sum of the squares of two numbers is 233, and one of the numbers is 3, less than twice the other. Find the numbers. - Father and son 10

Two years ago, Philip was 3 times as old as his son, and 2 years hence, twice his age will be equal to 5 times that of his son. Find their present ages. - Two places 3

The distance between two places, A and B, is 90 km. Two cars start together from A and B. If both the cars go in the same direction, they meet after 9 hours, and if they go in opposite directions, they meet after 9/7 hours. Find their speeds. (Assume that - Kevin and Mary

Kevin is 4 times as old as Mary was 2 years ago. In seven years Mary will be as old as Kevin is now. How old are they now.

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