Question
In an office, the ratio of the number of males to number
of females is 11:8. If 4 males joined the class and 6 females left the class, then the ratio of number of males to that of females in an office would become 3:2. Find the actual number of females in the class.Solution
Let initially the number of males and females in an office be 11x and 8x respectively. According to the question, => (11x + 4) : (8x – 6) = 3:2 => 22x + 8 = 24x – 18 => x = 13 Therefore, number of females in an office = 8 x 13 = 104
I. 2 x ² + x  – 1 = 0                Â
II. 2 y ² - 3 y + 1 = 0
...I. 2x2 – 19x + 45 = 0
II. y2 – 14y + 48 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 4x² - 12x + 9 = 0
Equation 2: 2y² + 10y + 12 = 0
I. 15y2 + 26y + 8 = 0
II. 20x2 + 7x – 6 = 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. 6x² - 23x + 7 = 0
II. 6y² - 29y + 9 = 0
If the roots of the quadratic equation 7y² + 5y + 9 = 0 are α and β, then find the value of [(1/α) + (1/β)].
I. 24x² - 58x + 23 = 0
II. 20y² + 24y – 65 = 0
I. x2 + (9x/2) + (7/2) = - (3/2)
II. y2 + 16y + 63 = 0
I. x² - (16)2 = 0
II. 2y - 14 = 0
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