Question
Three numbers βLβ, βMβ and βNβ are such that βLβ is five times of βMβ and βNβ is equal to the average of βLβ and βMβ. If the sum of these three numbers is 540, then find the difference between the largest and smallest number.
Solution
Let the value of βMβ be β2xβ So, value of βLβ = 5 Γ 2x = β10xβ So, value of βNβ = (10x + 2x)/2 = 12x/2 = β6xβ ATQ; 10x + 2x + 6x = 540 Or, 18x = 540 Or, x = 30 So, the difference (L - M) = 10x - 2x = 8x = 8 Γ 30 = 240
More Ratio and proportion Questions
- A plot has to be divided among P, Q and R in the ratio 3:5:7 respectively. If the area of plot received by R is 4200mΒ² more than the area of plot received ...
- What must be added to each term of the ratio 5:12 so that it may equal to 3:4?
- The ratio of the monthly income of βAβ and βBβ is 11:13. If βAβ and βBβ save Rs. 4000 and Rs. 5000 respectively, and the ratio of their expenditure is 3:4,...
- Find the third proportional to 14 and 70?
- Ratio between two numbers is 6:11 and their difference is 50. Find the sum of the given two numbers.
- In an institute, the average score on an IBACIO Scholarship test for 52 aspirants is 51. Excluding the scores of the top 5 performers, the average score of...
- In a class of 533 students, 133 are girls and remaining are boys. Among boys, the ratio of number of boys who are wearing caps to those who are not wearing...
- The ratio of heartbreak to emotions is 2:3:4:5 The price of heart is inversely proportional to the square of emotions. If there is a loss of Rs 1420 due to...
- An integer 'p' is added to each of 7, 15, 27 and 45 so that the resulting numbers will be in proportion in given order only. Find the value of '(p + 4)'.
- 60 percent of first number is equal to 40 percent of the second number. What is the respective ratio of the first number to the second number?
Relevant for Exams:
