The sum of the two numbers is 22. Five times one number is equal to 6 times the other. The bigger of the two numbers is:
বিকল্পসমূহ (নিজের উত্তর যাচাই করতে ক্লিক করুন):
সঠিক উত্তর
1 (12)
বিস্তারিত ব্যাখ্যা ও বিশ্লেষণ:
Solution:
Let the required numbers be x and y.
Now, according to the given conditions:
x + y = 22 (1)
Five times one number is equal to six times the other:
5x = 6y (2)
From equation (2), we get:
x = (6y) / 5
Substitute this value into equation (1):
6y / 5 + y = 22
(6y + 5y) / 5 = 22
11y / 5 = 22
y = 10
Now, substitute y = 10 into equation (2):
x = (6 × 10) / 5
x = 12
Therefore, the required numbers are x = 12 and y = 10.
