Question
55 litres of a solution contains alcohol and water in
the ratio 2:3. Water is added in the solution. The new mixture has a ratio of alcohol and water as 1:5. Find the quantity of water added.Solution
Let initial quantity of alcohol and water be 2x and 3x. ⇒  2x + 3x = 55 ⇒  5x = 55 ⇒  x = 11 Initial quantity of alcohol = 2x ⇒  22 litres Initial quantity of water = 3x ⇒  33 litres Let the water to be added be x litres. 22/(33 + x) = 1/5 ⇒  110 = 33 + x ⇒  77 = x Therefore, quantity of water added is 77 litres.
l). 3p + 2q = 27
ll). 4p - 3q = 2
- Find the value of p if the quadratic equation x² + px + 36 = 0 has real and equal roots.
What will be the product of smaller roots of both equations.Â
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...
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 4x² - 12x + 9 = 0
Equation 2: 2y² + 8y + 6 = 0
I. 63x2 + 148x + 77 = 0
II. 21y2 + 89y + 88 = 0
I. 8y2 - 2y - 21 = 0
II. 2x2 + x - 6 = 0
I. x2 – 13x + 36 = 0
II. 3y2 – 29y + 18 = 0
If ‘y1’ and ‘y2’ are the roots of quadratic equation 5y2 – 25y + 15 = 0, then find the quadratic equation whose roots are ‘3y1�...
I. 144x² - 163x - 65 = 0
II. 91y² - 128y -48 = 0
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