Question
The present age of Aman is two times more than that of
Rakesh. 5 years hence from now, the age of Aman will be twice the age of Suresh at that time. If Rakesh is 5 years younger than Suresh, then find the present age of Aman.Solution
Let the present age of Rakesh be ‘x’ years Therefore, present age of Aman = x + 2x = ‘3x’ years Let, present age of Suresh be ‘y’ years Given, y – x = 5 Or, x = y – 5 Also, (3x + 5) = 2 × (y + 5) Or, 3 × (y – 5) + 5 = 2y + 10 Or, 3y – 15 + 5 = 2y + 10 Or, y = 20 Therefore, x = y – 5 = 15 Therefore, present age of Aman = 3x = 3 × 15 = 45 years
I. 6x² + 37x + 45 = 0
II. 3y² - 11y + 6 = 0
I. 2x² - 9x + 10 = 0
II. 3y² + 11y + 6 = 0
Find the roots of the equation 6p² – 5p – 6 = 0.
I. 2x2 – 19x + 45 = 0
II. y2 – 14y + 48 = 0
Let 's' represent the sum of the highest root of equations I and III, and 'r' denote the product of the lowest root of equation I and the highest root o...
if x satisfies 3x² – 5x – 12 = 0, find the sum of reciprocals of roots.
What are the coordinates of the point which divides the line joining (-1, 7) and (4, 3) in the ratio 2:3?
(i) 2x² + 14x - 16 = 0
(ii) y² – y – 12 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 3x2 + 6√7x - 315 = 0    Â
E...
I). p2 - 20p + 51 = 0,
II). 2q2 - 7q + 6 = 0
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