Question
The average of the current ages
of 'Anoop', 'Bhanu', and 'Rakesh' is 40 years. Their ages are in arithmetic progression (AP), with 'Anoop' being the youngest and 'Rakesh' the oldest. Determine the ratio of the ages of 'Bhanu' and 'Dinesh', 8 years from now, given that 'Dinesh' is currently 24 years old.Solution
ATQ,
If 3 (odd) numbers are in AP then middle term will be its average. As ‘Anoop’ is youngest and ‘Rakesh’ is eldest among them So ‘Bhanu’ will be in middle So, age of ‘Bhanu’ = 40 years Required ratio = (40 + 8) : (24 + 8) = 48:32 = 3:2
I. x²= 961Â
II. y= √961
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 29x² - 137x + 108 = 0
Equation 2: 31y² - 146y + ...
I. 2p2 - 3p – 2 = 0 II. 2q2 - 11q + 15 = 0
I.√(3x-17)+ x=15
II. y + 135/y=24
Equation 1: x² - 200x + 9600 = 0
Equation 2: y² - 190y + 9025 = 0
I. 5x2 – 7x – 6 =0
II. 2y2 – 5y – 7 =0
I. 35x² - 24x – 35 = 0
II. 72y² - 145y + 72 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 40x + 375 = 0
Equation 2: y² - 36y + 324 = 0
What is the speed of the stream if a ship takes 15 hours to travel 240 km in calm waters, given that the ratio of its speed against the current to its s...
I. 7x² + 27x + 18 = 0
II. 19y² - 27y + 8 = 0
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