HARD
10th CBSE
IMPORTANT
Earn 100

Find two natural numbers, the sum of whose squares is 25 times their sum and also equal to 50 times their difference.

Important Questions on Quadratic Equations

HARD
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 22
The difference of the squares of two natural numbers is 45. The square of the smaller number is four times the larger number. Find the numbers.
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 23
Three consecutive positive integers are such that the sum of the square of the first and product of the other two is 46. Find the integers.
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 24
A two-digit number is 4 times the sum of its digits and twice the product of digits. Find the number.
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 25
A two-digit number is such that the product of its digits is 14. If 45 is added to the number, the digit interchange their places. Find the number.
HARD
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 26
The denominator of a fraction is 3 more than its numerator. The sum of the fraction and its reciprocal is 2910.  Find the fraction.
HARD
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 27
The numerator of a fraction is 3 less than its denominator. If 1 is added to the denominator, the fraction is decreased by 115. Find the fraction
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 28
The sum of a number and its reciprocal is 2 130. Find the number.
MEDIUM
10th CBSE
IMPORTANT
Secondary School Mathematics for Class 10>Chapter 4 - Quadratic Equations>Exercise 4E>Q 29
A teacher on attempting to arrange the students for mass drill in the form of solid square found that 24 students were left. When he increased the size of the square by one student, he found that he was short of 25 students. Find the number of students.