# ICSE Class 10 Maths Word Problems: Quadratic Equations

## Q.

The product of two consecutive positive integers is 306. Find the smallest integer.

## Q.

The sum of the square of two positive integers is 208. If the square of the larger number is 18 times the smaller number, find the smaller numbers.

## Q.

Find two consecutive odd positive integers the sum of whose squares is 290.

## Next Videos

- The sum of the square of three consecutive even integers is 200.find the number
- a two digit number is such that the product of the digits is 8. when 18 is added to the number then the digits are reversed find the two digit number
- A plane flies a distance of 1600 km at a certain speed. On the return journey, due to bad weather, as the speed was reduced by 40 km/hr it took 1 hour 20 minutes more than the onward journey. Find the speed of the onward journey.
- Bimal wishes to start a 200 metre square rectangular garden. Since he has only 50 m barbed wire, he fences three sides of the garden letting his house compound wall act as one of the longer sides of the garden. Find the dimensions of the garden.
- The perimeter of a rectangle is 60 cm. Take x as the breadth and express length in terms of x. If the area of a rectangle is 216 centimetre square, find the value of x.
- A passenger train leaves a station at 6. am followed by an express train which leaves at 6:30 am and travels 20 km faster than the passenger train. The express train arrives at a station 90 km away, fifteen minutes before the passenger train. Calculate their speeds.
- A two digit positive number is such that the product of its digit is 6. If 9 is added to the number, the digits interchange their places. Find the number.
- the speed of express of train is xkm/hr and the speed of ordinary train is 12 km\hr less than that of the express train.if the odrinary train takes one hour longer than the express train to cover a distance of 240km find the speed of express train
- In a two digit number,the unit's digit exceed its ten's digit by 2 .The product of the given number and the sum of the digit is equal to 144 .Find the number
- X articles are bought at â‚¹(x-8) each and (x-2) some other articles are bought at â‚¹(x-3)each .If the total cost of all these articles is â‚¹76,how many articles of first kind were bought?

### Kindly Sign up for a personalised experience

- Ask Study Doubts
- Sample Papers
- Past Year Papers
- Textbook Solutions

#### Sign Up

#### Verify mobile number

Enter the OTP sent to your number

Change