Question
If (x - 5)2 - (x + 5)2 = 0, then
what is the value of 'x'?Solution
We have given, (x - 5)2 - (x + 5)2 = 0 Using (a2 - b2) = (a + b)(a - b) (x - 5 + x + 5)(x - 5 - x - 5) = 0 Or, 2x X (-10) = 0 Or, - 20x = 0 Or, 'x' = 0/-20 = 0
The average mark obtained by 160 candidates in a certain examination is 60. If the average marks of passed candidates are 65 and that of the failed cand...
- The average salary of X, Y, and Z is Rs. 22000 and the average salary of P and Q is Rs. 15000. If the savings of X is 60% of the average salary of all five...
The average of 9 numbers is 100. The average of the first 4 numbers is 65 and the average of the last 4 numbers is 40. What is the 5th number?
Average weight of 13 nurses is 40 kg. If the weight of one more nurse is included, then average weight is increased by 2 kg. Find the weight of the newl...
The annual production of an article fluctuates. It consistently rises by 25% for two consecutive years, followed by a 20% decline in the third year. In ...
- The average age of (x + 4) students of a class is 18 years. If the 54 years old class teacher is also included then average age of the class gets increased...
The average weight of 10 books is 5 kg. If 6 new books are added, the new average increases by 3 kg. What will be the average weight of the 6 new books?
- The average salary of M, N, and O is Rs. 20000 and the average salary of P and Q is Rs. 14000. If the savings of M is 65% of the average salary of all five...
Four numbers are arranged in ascending order. When the 1st two numbers are increased by the number equal to their position, and the last two numbers (i....
In an exam of 100 marks, the average marks of a class of 38 students are 72. If the top 3 scorers of the class leave, the average score falls “dow...