Question
The current heights of A, B, and C are in the ratio of
10:12:15. After one year, the height of A increases by 20%, the height of B increases by 33(1/3)%, and the height of C increases by 66(2/3)%. What will be the new ratio of their heights after one year?Solution
Let current heights of ‘A’, ‘B’ and ‘C’ be ‘10x’ cm, ‘12x’ cm and ‘15x’ cm, respectively After 1 year: Height of ‘A’ = (6/5) × 10x = ‘12x’ cm Height of ‘B’ = (4/3) × 12x = ‘16x’ cm And height of ‘C’ = (5/3) × 15x = ‘25x’ cm So, ratio of new heights of ‘A’, ‘B’ and ‘C’ = 12x:16x:25x = 12:16:25
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 5x + 6 = 0
Equation 2: y² - 7y + 12 = 0
I. 4x2 + 9x - 9 = 0
II. 4y2 - 19y + 12 = 0
I). p2 - 26p + 165 = 0
II). q2 + 8q - 153 = 0
I. 4x2 + 25x + 36 =0
II. 2y2 + 5y + 3 = 0
I. 2x2 – 5x - 12 = 0
II. y2 – 11y + 30 = 0
I. 3y² - 20y + 25 = 0
II. 3x² - 8x + 5 = 0
I. 12y2 + 11y – 15 = 0
II. 8x2 – 6x – 5 = 0
I. 35 y² + 58 y + 24 = 0
II. 21 x² + 37 x + 12 = 0
I. 27(p + 2) = 2p(24 – p)
II. 2q2 – 25q + 78 = 0
I. 12x2 + 22x + 8 = 0
II. 4y2 - y − 3 = 0
