Question
The current ages of Raman and Raghav are in the ratio of
5:4. In six years, their ages will have a ratio of 11:9. What was the ratio of their ages ten years ago?Solution
Let present age of Raman and Raghav be 5x and 4x years, respectively. According to question, (5x + 6) / (4x + 6) = 11/9 45x + 54 = 44x + 66 x = 12 Raman’s present age = 5x = 5×12 = 60 years Raghav’s present age = 4x = 4×12 = 48 years Required ratio = (60 – 10) : (48 - 10) = 50:38 = 25:19
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
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