Question
I. 63x² + 146x + 80 = 0 II. 42y² + 109y
+ 70 = 0Solution
I. 63x² + 146x + 80 = 0 63x² + 90x + 56x + 80 = 0 9x(7x + 10) + 8(7x + 10) = 0 (9x + 8) (7x + 10) = 0 ∴ x = (-8)/9, (-10)/7 II. 42y² + 109y + 70 = 0 42y² + 60y + 49y + 70 = 0 6y(7y + 10) + 7(7y + 10) = 0 (6y + 7) (7y + 10) = 0 ∴ y = (-7)/6, (-10)/7 Hence, relationship cannot be established between x and y
Eight years ago, the ratio of Raman's age to Chaman's age was 4:5. Twelve years from now, this ratio will change to 13:15. Calculate the current average...
The current average age of 'Akhil', 'Bittu', and 'Chinu' is 42 years. 'Bittu's' age is 25% greater than 'Akhil's'. Twelve years from now, the age ratio ...
Sum of the present ages of A, B, C and D is 40 years. After 6 years ratio of their ages is 6:5:3:2. What is C’s present age?
Five years ago, the ratio of Aman's age to Rahul's age was 6:5. It is also known that Aman's age will be 47 years five years from now. Additionally, R...
Sum of the present ages of A, B, C and D is 60 years. After 6 years ratio of their ages is 6:5:5:4. What is C’s present age?
Eight years ago, the ratio of the ages of Rohan and Sohan was 5:6, respectively. Five years hence, the ratio of the ages of Mohan and Sohan will be 6:7,...
Amit age after 15 years will be 2 times his age 2 years back. What is the present age of Amit?
- A person 'X' is 8 years younger than 'Y' and also 13 years less than twice the age of 'Z'. Given that the ages of 'Y' and 'Z' are in the ratio 5:3, determi...
Amit age after 12 years will be 2 times his age 2 years back. What is the present age of Amit?
Ratio of present ages of A and B is 7:5, respectively. C who is 3 years older than A will become 36 years older after 12 years. Find the present age of B.
Relevant for Exams:
