Question
If the average of two numbers is 13 and the square root
of their product is 12, then the difference between the numbers is:Solution
Sum of the numbers = 13 × 2 = 26 Let the two numbers be a and b So, (a + b) = 26   ----(i) Now, √ab = 12 ⇒ (√ab)2 = 122 ⇒ ab = 144 Now, (a + b)2 = 262 ⇒ a2 + b2 + 2ab = 676 ⇒ a2 + b2 + 2ab - 4ab = 676 - 4 × 144 ⇒ a2 + b2 - 2ab = 676 - 576 ⇒ (a - b)2 = 100 ⇒ (a - b) = 10   ----(ii) From eq (i) and eq (ii) we can say a = 18 and b = 8 Now, Difference of the two numbers = 18 - 8 ⇒ 10 ∴ The difference between the numbers is 10.
Can we infer from this article that there is an immediate need of an international forum to help small island nations threatened by rising sea levels?
What does the Compensatory Afforestation Fund Act, 2016 mandates?
Which of the following words seems the most opposite in meaning to the word 'mend' s used in the passage?
Find the word from the given options which has its meaning most similar to the word sequestration as used in the passage.
Which of the following words is opposite in meaning to " anticipated " as used in the passage?
Pick out the true statement regarding the successful cleanup projectÂ
What is/are the reasons for low profitability and substantial value erosion to the principal shareholder-the government?
(A) The continuous deter...
Choose the word which is most nearly the same in meaning to the word ‘prerogative’ as used in the passage .
Which of the following is the most opposite in meaning to the word ‘ hazardous’ as used in the passage?
Which of the following will be the most opposite in meaning to the word rationalise as used in the passage?