Question
If a + b + c = 6, a³ + b³ + c³-3abc =
342, then what is the value of ab + bc + caSolution
Here is 2 equation and 3 variable Extra variable it can be put anything else = C = 0 A + b = 6, a3 + b3 = 342 Ab = ? = (a +b)3 = a3 + b3 + 3ab (a + b) = 216 = 342 + 3ab × 6 = 18ab = 126 = ab = 7
- In a school consisting of 750 students, the ratio of boys to girls is 3:2. If 14% of the boys and 10% of the girls failed in the semester exam, how many st...
- A number is first increased by 100%, then increased by 30% and then decreased by 75%. If the resultant number is 195, then find the original number.
A man spends 30% and 18% of his monthly salary on rent and transportation, respectively. Out of the remaining money, he spends 29% on food and 44% on en...
In a given years, A sold 1200 caps while B sold 20% more number of caps than A and C sold 10% less number of caps than B. Find the ratio between the num...
In an election between two candidates Abhay and Bharti, Abhay got 55% of the total valid votes, 20% of the total votes were invalid. If the total number...
A car manufacturing company manufactures 4,650 cars, 7,500 cars and 9,860 cars of A, B and C type respectively. If 24% of A type, 39% of B type ...
In a village election between two candidates, the winner secured 54% of the total votes cast and won by a majority of 4000 votes. How many votes did the...
Office A has 1250 employees, of which 44% are boys, and the remaining are girls. Office B has 12% more employees than Office A. I...
The sum of the earnings of 'D' and 'E' is Rs. 2,20,000. 'D' uses 75% of his income, while 'E' uses 65% of hers, so that 'E's savings are Rs. 17,000 more...
If 75% of a number is added to 75, the result is the number itself, then the number is:
