Kalam has three daughters; Shaila, Meena and Tina. Three years ago, when Kalam was twice as old as Tina, he was 30 years older than Meena. Now he is 47 years older than Shaila. In 4 years, Shaila will be half as old as Tina. What is the sum of the current ages of Kalam and his three daughters?
বিকল্পসমূহ (নিজের উত্তর যাচাই করতে ক্লিক করুন):
সঠিক উত্তর
ক (138)
বিস্তারিত ব্যাখ্যা ও বিশ্লেষণ:
Solution:
Suppose, 3 years ago Tina's age was x years.
Then:
- Kalam's age = 2x
- Meena's age = 2x - 30
Now (current ages):
- Tina = x + 3
- Kalam = 2x + 3
- Shaila = (2x + 3) - 47 = 2x - 44
According to the question:
x + 7 = 2 × (2x - 44 + 4)
⇒ x + 7 = 2 × (2x - 40)
⇒ x + 7 = 4x - 80
⇒ 3x = 87
⇒ x = 29
Current ages:
- Tina = 29 + 3 = 32
- Kalam = 2×29 + 3 = 61
- Meena = 61 - 30 = 31
- Shaila = 2×29 - 44 = 14
Total sum of their ages = 32 + 61 + 31 + 14 = 138
