The ages of Sabiha and Suriya are in the ratio of 7 : 3 respectively. After 6 years, the ratio of their ages will be 5 : 3. What is the difference in their ages?
বিকল্পসমূহ (নিজের উত্তর যাচাই করতে ক্লিক করুন):
সঠিক উত্তর
1 (8 years)
বিস্তারিত ব্যাখ্যা ও বিশ্লেষণ:
Solution:
Let,
their ages are 7x, 3x
ATQ, (7x + 6)/(3x + 6) = 5/3
⇒ 3(7x + 6) = 5(3x + 6)
⇒ 21x + 18 = 15x + 30
⇒ 21x - 15x = 30 - 18
⇒ 6x = 12
∴ x = 2
The difference in their ages is = 7x - 3x = 4x = 4 × 2 = 8 years
