Question
The average age of A and B is 22 years. If A is to be
replaced by C, the average would be 20 years. The average age of C and A is 23 years. Find the age of A.Solution
A + B = 2 × 22 = 44 yr B + C = 2 × 20 = 40 yr C + A = 2 × 23 = 46 yr On adding all three, 2 (A + B + C) = 44 + 40 + 46 = 130 ⇒ A + B + C = 65 ∴ A = (A + B + C) – (B + C) = 65 – 40 = 25 yr
I). p2 + 22p + 72 = 0,
II). q2 - 24q + 128 = 0
I). 5p2 Â - p - 4 = 0
II). q2 - 12q + 27 = 0
I. x2 – 9x + 18 = 0
II. y2 – 5y + 6 = 0
l). 2p² + 12p + 18 = 0Â
ll). 3q² + 13q + 12 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 29x² - 177x + 270 = 0
Equation 2: 31y² - 152y + ...
I. 2x² - 9x + 10 = 0
II. 3y² + 11y + 6 = 0
In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between 'p' and 'q' and choose...
I. 5x² = 19x – 12
II. 5y² + 11y = 12
I. 25p + 2(2p2 – 1) = 8(p + 5)
II. 8q2 + 35q – 78 = 0
I:Â x2Â - 33x + 242 = 0
II:Â y2Â - 4y - 77 = 0
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