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Let the numbers be x and y. x + y = 20 and xy = 96. Using the quadratic: x² - 20x + 96 = 0. Discriminant = 20² - 4*96 = 16. Roots are x = (20 ± √16)/2 = (20 ± 4)/2. This gives us x = 12 or 8. Correct answer: a) 12, 8
Ramu has lent Rs. 60,000 to Murali and Bansi at 7% p.a. and at 11% per annum respectively. At the end of the year, he has gained an overall interest at...
The ratio of liquor and soda in a mixture of 70 liters is 3:2. How much liquor should be mixed to make the ratio 7:4?
Alloy A contains iron and copper in ratio 4:5. Alloy B contains iron and copper in ratio 3: 4. If 63kg of alloy A and 56 kg of alloy B are mixed, then w...
A vessel contains some milk .7 liter of the milk was taken out of the vessel and replaced with 7 liter of water and again 7 liter of mixture was taken o...
In what ratio mixtures of 22% concentration of alcohol and 35% concentration of alcohol are to be added so that the resultant mixture will have 30% conc...
The ratio of liquor and soda in a mixture of 60 liters is 3:2. How much soda should be mixed to make the ratio 5:7?
Cost of two types of pulses is Rs.11 and Rs, 16 per kg, respectively. If both the pulses are mixed together in the ratio 2:3, then what should be the pr...
In a class, 60% of the students are boys, and the rest are girls. If 40% of the boys and 50% of the girls passed an exam, what percentage of the total s...
Ratio of present ages of mother and her son is 21:10 respectively. Father’s present age is 17 years more than that of mother. If the present average a...
A milk vendor has 93 litres of cow pure milk, 62 litres of toned milk and 124 litres of double toned milk. If he wants to pack them in cans so that each...
