Question
The ratio of the present ages of father and his son is
9:4. The product of their ages 3 years ago was 24 times of his son’s age that year. What was son’s age 2 year ago?Solution
Let present age of father and son be 9x and 4x respectively. According to question,  => (9x – 3) (4x – 3) = 24 × (4x – 3)  => (9x – 3) = 24 => 9x = 27 => x = 3 Therefore, son’s age 2 years ago = (4x – 2) = 10 years
LCM of 'x' and 'y' is 30 and their HCF is 1 such that {10 > x > y > 1}.
I. 2p²- (x + y) p + 3y = 0
II. 2q² + (9x + 2) = (3x + y) q
I. 96x² + 52x - 63 = 0
II. 77y² + 155y + 72 = 0
I. 10p² + 21p + 8 = 0
II. 5q² + 19q + 18 = 0
I. 8x² + 2x – 3 = 0
II. 6y² + 11y + 4 = 0
If the roots of the quadratic equation 6m² + 7m + 8 = 0 are α and β, then what is the value of [(1/α) + (1/β)]?
I. 27x6 - 152x3 + 125 = 0
II. 216y6 - 91y3 + 8 = 0
I. x2 + 13x + 42 = 0
II. y² + 13y + 40 = 0
How many values of x and y satisfy the equation 2x + 4y = 8 & 3x + 6y = 10.
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...
I. 8x2 - 2x – 15 = 0
II. 12y2 - 17y – 40 = 0
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