Three numbers are in the ratio 2 : 5 : 8 and their average is 75. What is the difference between larger and smaller numbers?
বিকল্পসমূহ (নিজের উত্তর যাচাই করতে ক্লিক করুন):
সঠিক উত্তর
ক (90)
বিস্তারিত ব্যাখ্যা ও বিশ্লেষণ:
Solution:
Let the three numbers are 2x, 5x, and 8x, where x is a constant multiplier.
The average of the three numbers is given as 75.
The average of the three numbers is,
⇒ (2x + 5x + 8x)/3 = 75
⇒ 15x/3 = 75
⇒ 5x = 75
⇒ x = 75/5
∴ x = 15
The first number is = 2x = 2 × 15 =30
The third number is = 8x = 8 × 15 = 120
∴ The difference between the larger and smaller numbers is, 120 − 30 = 90
