Question
Six years ago, the age ratio of A to B was 5:6. In nine
years, their age ratio will become 8:9. Determine the difference between their current ages.Solution
6 years ago, Let the age of A = 5x years
Age of B = 6x years
According to the question,
(5x + 15):(6x + 15) = 8:9
45x + 135 = 48x + 120
x = 5
Present age of A = 5 × 5 + 6 = 31 years
Present age of B = 6 × 5 + 6 = 36 years
Required difference = 36 – 31 = 5 years
I. 6 y² + 11 y – 7= 0
II. 21 x² + 5 x – 6 = 0
- For what value of a does the quadratic equation x² + ax + 81 = 0 have real and identical roots?
I. 8x² + 2x – 3 = 0
II. 6y² + 11y + 4 = 0
I. 2x² - 15x  + 13 = 0
II. 3y² - 6y + 3 = 0
I. 2x² - 7x + 3 = 0
II. 8y² - 14y + 5 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 3x2 + 6√7x - 315 = 0    Â
E...
I. 35x² - 51x + 18 = 0
II. 30y² + 17y – 21 = 0
I. 195x² - 46x - 21 = 0
II. 209y² + 7y - 12 = 0
I. 2y2 - 37y + 143 = 0
II. 2x2 + 15x – 143 = 0
I. 22x² - 97x + 105 = 0
II. 35y² - 61y + 24 = 0
