The sum of the squares of two consecutive natural numbers is 113. Find the numbers.
Tinu is younger than Pinky by three years. The product of their ages is 180. Find their ages.
The length of a rectangle is greater than its breadth by 2 cm. The area of the rectangle is 24 cm². Find its length and breadth.
The sum of the squares of two consecutive even natural numbers is 100, find the numbers.
A natural number is greater than twice its square root by 3. Find the number.
The sum of a natural number and its reciprocal is \(10\over 3\). Find the number.
The sum of the ages of the father and his son is 42 years. The product of their ages is 185. Find their ages.
Three times the square of a natural number is 363. Find the number.
The length of one diagonal of a rhombus is less than the second diagonal by 4 cm. The area of the rhombus is 30 cm². Find the length of the diagonals.
A natural number is greater than the other by 5. The sum of their squares is 73. Find the numbers.
The sum ‘S’ of first ‘n’ natural numbers is given by S = \(n(n + 1)\over 2\). Find ‘n’, if the sum (S) is 276.
A rectangular playground is 420 sq. m. If its length is increased by 7m and breadth is decreased by 5m, the area remains the same. Find the length and the breadth of the playground.
If the price of bananas is increased by ₹ 1 per dozen, one can get 2 dozen less for ₹ 840. Find the original price of 1 dozen bananas.
The difference of squares of two natural numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers.
A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train.
Two water taps together can fill a tank in 3\(9\over 8\) hours. The bigger tap takes 10 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.
An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bangalore (without taking into consideration the time they stop at intermediate stations). If the average speed of the express train is 11km/h more than that of the passenger train, find the average speed of the two trains.
Sum of the areas of two square shaped figures is 468 m2. If the difference of their perimeters is 24 m, find the sides of those figures.
The sum of the reciprocals of Sachin's ages (in years), 3 years ago and 5 years from now is \(1\over 3\). Find his present age.
The diagonal of a rectangular field is 60 metres more than the shorter side. If the longer side is 30 metres more than the shorter side, find the sides of the field.
Find two consecutive odd positive integers such that the sum of their squares is 290.
Find two numbers whose sum is 27 and product is 182.
Find two consecutive positive integers, sum of whose squares is 365.
The altitude of a right triangle is 7 cm less than its base. If the hypotenuseis 13 cm, find the other two sides.
A cottage industry produces a certain number of pottery articles in a day. It was observed on a particular day that the cost of production of each article (in rupees) was 3 more than twice the number of articles produced on that day. If the total cost of production on that day was ₹ 90, find the number of articles produced and the cost of each article.
A motor boat whose speed is 18 km/h in still water takes 1 hour more to go 24 km upstream than to return downstream to the same spot. Find the speed of the stream.
This page was last modified on 05 March 2021 at 22:50