MEDIUM
10th CBSE
IMPORTANT
Earn 100

A girl is twice as old as her sister. Four years hence, the product of their ages (in years) will be 160. Find their present ages.

Important Questions on Quadratic Equations

MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 4 - Quadratic Equations>EXERCISE 4.9>Q 7
The sum of the reciprocals Rehman's ages 3 years ago and five years from now is 13. Find his present age.
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 4 - Quadratic Equations>EXERCISE 4.9>Q 8
If Zeba were younger by 5 years than what she really is, then the square of her age (in years) would have been 11 more than 5 times her actual age. What is her age now?
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 4 - Quadratic Equations>EXERCISE 4.9>Q 9
At present Asha's age (in years) is 2 more than the square of her daughter Nisha's age. When Nisha grows to her mother's present age, Asha's age would be one year less than 10 times the present age of Nisha. Find the present ages of both Asha and Nisha.
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 4 - Quadratic Equations>EXERCISE 4.10>Q 1
The hypotenuse of a right triangle is 25 cm. The difference between the lengths of the other two sides of the triangle is 5 cm. Find the lengths of these sides.
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 4 - Quadratic Equations>EXERCISE 4.10>Q 2
The diagonal of a rectangular field is 60 meters more than the shorter side. If the longer side is 30 meters more than the shorter side, find the sides of the field.
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 4 - Quadratic Equations>EXERCISE 4.10>Q 3
The hypotenuse of a right triangle is 310 cm. If the smaller leg is tripled and the longer leg doubled, new hypotenuse will be 95 cm. How long are the legs of the triangle?
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 4 - Quadratic Equations>EXERCISE 4.10>Q 4
A pole has to be erected at a point on the boundary of a circular park of diameter 13 meters in such a way that the difference of its distances from two diametrically opposite fixed gates A and B on the boundary is 7 meters. Is it the possible to do so? If yes, at what distances from the two gates should the pole be erected?
MEDIUM
10th CBSE
IMPORTANT
MATHEMATICS CLASS X>Chapter 4 - Quadratic Equations>EXERCISE 4.11>Q 1
The perimeter of a rectangular field is 82 m and its area is 400 m2. Find the breadth of the rectangle.