Question
The present age of Preeti is twice Ruchi’s present
age. Six years ago, their average age was 15 years. What will be the Preeti’s age after five years?Solution
Let Ruchi’s present age be x. Preeti’s present age be 2x. Six years ago, their average age, [(x-6) + (2x-6)]/2= 15 3x – 12 = 30 x = 14 Preeti’s age after 5 years = 2x + 5 = 2 × 14 + 5 = 33 years.
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 97x² - 436x + 339 = 0
Equation 2: 103y² - 460y + 357 = 0
If the roots of the quadratic equation 5x² + 4x + 6 = 0 are α and β, then what is the value of [(1/α) + (1/β)]?
...l). 3p + 2q = 27
ll). 4p - 3q = 2
I. p2 +7p + 10 = 0 II. q2 - q – 6 = 0
l). 2p² + 12p + 18 = 0Â
ll). 3q² + 13q + 12 = 0
I. x2 + 16x + 63 = 0
II. y2 + 2y - 15 = 0
I. p2 – 2p – 15 = 0
II. q2 + 4q – 12 = 0
I. 12a2 – 55a + 63 = 0
II. 8b2 - 50 b + 77 = 0
...I: x2Â + 31x + 228 = 0
II: y2 + 3y – 108 = 0
I. 7x² + 52x + 21 = 0
II. 6y² + 7y - 24 = 0
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