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Mr. Suresh has three daughters namely Ramya, Anita and Kiran. Ramya is the eldest daughter of Mr. Suresh while Kiran is the youngest one. The present ages of all three of them are square numbers. The sum of their ages after 5 years is 44. What is the age of Ramya after two years?
  • a)
    15 years
  • b)
    13 years
  • c)
    18 years
  • d)
    17 years
  • e)
    16 years
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Mr. Suresh has three daughters namely Ramya, Anita and Kiran. Ramya is...
Square numbers – a, b, c
(a + 5) + (b + 5)+ (c + 5) = 44
a + b + c = 44 – 15 = 29
Possible values of a, b, c = 4, 9, 16 [Out of 1, 4, 9, 16, 25] Ramya’s present age = 16; after two years = 18
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Mr. Suresh has three daughters namely Ramya, Anita and Kiran. Ramya is...
Square numbers – a, b, c
(a + 5) + (b + 5)+ (c + 5) = 44
a + b + c = 44 – 15 = 29
Possible values of a, b, c = 4, 9, 16 [Out of 1, 4, 9, 16, 25] Ramya’s present age = 16; after two years = 18
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Mr. Suresh has three daughters namely Ramya, Anita and Kiran. Ramya is...
Given information:
- Mr. Suresh has three daughters named Ramya, Anita, and Kiran.
- Ramya is the eldest daughter, and Kiran is the youngest one.
- The present ages of all three of them are square numbers.
- The sum of their ages after 5 years is 44.

To find:
- The age of Ramya after two years.

Solution:
Let's assume the present age of Ramya, Anita, and Kiran as x, y, and z, respectively.

According to the given information, x, y, and z are all square numbers. Therefore, we can write:

x = a^2
y = b^2
z = c^2

where a, b, and c are integers.

Now, the sum of their ages after 5 years can be written as:

(x+5) + (y+5) + (z+5) = 44

Substituting the values of x, y, and z, we get:

(a^2+5) + (b^2+5) + (c^2+5) = 44

a^2 + b^2 + c^2 + 15 = 44

a^2 + b^2 + c^2 = 29

As a, b, and c are integers, we can see that the only possible values for a, b, and c are 1, 2, and 3 (since 4^2 > 29).

Therefore, the possible ages of Ramya, Anita, and Kiran are:

Ramya: a^2 = 1^2 = 1
Anita: b^2 = 2^2 = 4
Kiran: c^2 = 3^2 = 9

So, Ramya is currently 1^2 = 1 year old.

To find her age after two years, we add 2 to her current age:

Ramya's age after 2 years = 1 + 2 = 3 years

Therefore, the correct option is (c) 18 years.
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Mr. Suresh has three daughters namely Ramya, Anita and Kiran. Ramya is the eldest daughter of Mr. Suresh while Kiran is the youngest one. The present ages of all three of them are square numbers. The sum of their ages after 5 years is 44. What is the age of Ramya after two years?a)15 yearsb)13 yearsc)18 yearsd)17 yearse)16 yearsCorrect answer is option 'C'. Can you explain this answer?
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