Question
Solve the quadratic equations and determine the relation
between x and y: Equation 1: x² - 32x + 252 = 0 Equation 2: y² - 30y + 221 = 0Solution
From Equation 1: x² - 32x + 252 = 0 Factorizing: (x - 14)(x - 18) = 0 So, x = 14 or x = 18. From Equation 2: y² - 30y + 221 = 0 Factorizing: (y - 13)(y - 17) = 0 So, y = 13 or y = 17. Comparing x and y: x = 14, y = 13 → x > y x = 14, y = 17 → x < y x = 18, y = 13 → x > y x = 18, y = 17 → x > y
100 litres of a mixture contains 40% milk and rest water. If ‘x’ litres of milk is added into the mixture then quantity of water in the final mixtur...
A 270 litres mixture of mango juice and lemon juice contains mango juice and lemon juice in the ratio of 7:2. How much lemon juice should be added to th...
55% of the original 'a' liters of pure petrol is taken out from a container and replaced with 66 liters of Methanol, ensuring the total quantity of the ...
A mixture contains ‘x’% milk. 20% of this mixture is taken out and is replaced with same quantity of water. This procedure is repeated two more time...
A mixture contains alcohol and water in the ratio 7:3. If 15 liters of water is added to the mixture, the ratio becomes 7:5. What is the initial quantit...
A 480 ml mixture consists of milk and honey in a 5:7 ratio. If ‘p’ ml of both milk and honey is added to the mixture, the new ratio of milk to honey...
300 ml of mixture contains milk and water in the ratio of 16:x respectively. If 50 ml of water and 60 ml of milk is added into it then ratio of milk to ...
- A solution contains acid and water in the ratio 2:3. After adding 4 litres of acid and 3 litres of water, the ratio becomes 3:4. What was the initial quant...
378 ml of mixture ‘A’ contains milk and water in the ratio 4:5 respectively. If the quantity of milk in mixture ‘B’ is 37.5% mor...
Mixture A has juice and water in a ratio of 3:5, while mixture B has juice and water in a ratio of 5:4. If these two mixtures are combined in a 2:3 rati...
Relevant for Exams:
