The present age of Amir and his mother are in the ratio 2 : 5 respectively. Four years hence, the ratio of their ages become 5 : 11 respectively. What was Amir's present age in years?
বিকল্পসমূহ (নিজের উত্তর যাচাই করতে ক্লিক করুন):
সঠিক উত্তর
1 (16 years)
বিস্তারিত ব্যাখ্যা ও বিশ্লেষণ:
Solution:
Let the present ages of Amir and his mother be 2x and 5x respectively.
ATQ,
(2x + 4) : (5x + 4) = 5 : 11
(2x + 4)/(5x + 4) = 5/11
⇒ 22x + 44 = 25x + 20
⇒ 25x - 22x = 44 - 20
⇒ 3x = 24
∴ x = 8
Amir's present age = (2 × 8) = 16 years