Question
I: 3x² - 18x + 24 = 0 II: 5y² + 10y - 15 =
0 In each of the following question, two equations are given. You have to solve both the equations to find the relation between x and y.Solution
From equation 1: 3x² - 18x + 24 = 0 Dividing by 3: x² - 6x + 8 = 0 Factorizing: (x - 4)(x - 2) = 0 So, x = 4 or x = 2. From equation 2: 5y² + 10y - 15 = 0 Dividing by 5: y² + 2y - 3 = 0 Factorizing: (y + 3)(y - 1) = 0 So, y = -3 or y = 1. Comparing x and y: • x = 4, y = -3, x > y • x = 4, y = 1, x > y • x = 2, y = -3, x > y • x = 2, y = 1, x < y
Pawan has some money left after spending 20%, 15% and 30% of monthly salary on rent, electricity and shopping respectively. The remaining money with Paw...
- Anita had 320 candies and Rina had 40 more candies than Anita. Anita gave away 25% of her candies while Rina gave away 35% of hers. How many more/less cand...
A candidate who gets 28% marks fails by 10 marks but another candidate who gets 42% marks gets 12% more than the passing marks. Find the maximum marks.
In a college election a candidate who got 40% of the total votes polled was defeated by 126 votes. Assuming that there were only two candidates in the e...
75% of A is equal to 40% of C and 80% of B is equal to 100% of A. If sum of 50% of B and 30% of C is equal to 95, then find 80% of A.
The marks scored by a boy in three subjects are in the ratio 2 : 3 : 4. Boy scored an overall aggregate of 75% in the exam. If the maximum marks in each...
The total strength of school A is 40% more than that of school B. In school A and B, out of total number of students, 25% and 30% respectively are girls...
A man spends 25% and 11% of his monthly salary on rent and transportation, respectively. Out of the remaining money, he spends 28% on food and 43% on en...
The earnings ratio of individuals 'P' and 'Q' stands at 5:3, respectively. 'P' manages to save 20% of their income, which is precisely 80% of what 'Q' s...
Monthly income of A is Rs. 7000 and he saves 28% of his monthly income. If monthly expenditure of A is decreased by 35% while his monthly savings is inc...
Relevant for Exams:
