Question
The ratio of green to yellow balls in a basket is 5:7. If
15 balls of each color are added, the ratio becomes 2:3. How many yellow balls were originally there?Solution
ATQ,
Let the number of green and yellow balls originally be 5x and 7x respectively.
ATQ:
(5x + 15)/(7x + 15) = 2/3
⇒ 3(5x + 15) = 2(7x + 15)
⇒ 15x + 45 = 14x + 30
⇒ x = 15
So, original yellow balls = 7 × 15 = 105
Equation 1: x² - 144x + 5184 = 0
Equation 2: y² - 130y + 4225 = 0
I). p2 + 17p - 234 = 0
II). q2 - 21q + 108 = 0
Equation 1: x² - 220x + 12100 = 0
Equation 2: y² - 210y + 11025 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 29x² - 137x + 108 = 0
Equation 2: 31y² - 146y + ...
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 19x² - 92x + 73 = 0
Equation 2: 17y² - 76y + 59 = 0
I. 2x² + 11 x + 15 = 0
II. 2y² - 19 y + 44 = 0
I. p2 – 15p + 56 = 0
II. q2 + 2q – 63 = 0
I. 2x2 – 10x – 48 = 0
II. y2 – 16y – 297 = 0
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. 27x6 - 152x3 + 125 = 0
II. 216y6 - 91y3 + 8 = 0
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