Question
In an orchard, the ratio of the number of mango and
lichi trees is 9:10, respectively. Also, there are few apple trees in the orchard which is 50% more than the number of mango trees. Total number of trees in the orchard is 130. What is the number of lichi trees in the orchard?Solution
Let the number of mango trees and the lichi trees in the orchard be 9x and 10x respectively. According to the question, Number of apple trees in the orchard = 9x + 0.5 × 9x = 13.5x Therefore, 9x + 10x + 13.5x = 130 Or, 32.5x = 130 Or, x = 4 Number of lichi trees in the orchard = 10x = 40
I. 2y2 – 19y + 35 = 0
II. 4x2 – 16x + 15 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 42x + 392 = 0
Equation 2: y² - 46y + 480 = 0
Equation 1: x² - 120x + 3500 = 0
Equation 2: y² - 110y + 3025 = 0
Find the coefficient of x³ in (2x − 3)⁶.
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 22x + 120 = 0
Equation 2: y² - 25y + 144 = 0
Find the value of 'x' and 'y' in the following equation:
7x - 2y = 46
In each of these questions, two equations (I) and (II) are given.You have to solve both the equations and give answer
I. x² - 8x + 15 = 0 ...
l. 3x2 + 17x + 24 = 0
II. 2y2 + 15y + 27 = 0
In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y.
I. x
I. 22x² - 97x + 105 = 0
II. 35y² - 61y + 24 = 0