Sum of the Ages of Aruna, Bhaskar,Chaitu and Dinesh is 78. Aruna is 5 years older than Bhaskar. Chaitu is 3 years older than Dinesh. Aruna age is 9 times the age of Dinesh. Then what is the age of Chaitu?a)4b)5c)6d)7e)Cannot be determinedCorrect answer is option 'E'. Can you explain this answer?

Question

Answer

Correct option should be (D) . Chaitu's age should be 7.

a+b+c+d = 78 ---- eqn 1
c= d+3
a= b+5
a= 9d

Now with substitution, we get d= a/9 or (b+5)/9
c = (b+5)/9+3 ----- eqn 2

Substituting values in eqn 1 we get,

{b+5+b+ (b+5)/9 +3+ (b+5)/9}= 78
We get the value of b as 31.

Hence C = 7 (from eqn 2)

Answer

A+B+C+D = 78
B = A-5, C= D+3 , A=9
A = 36
V = 7

Answer

Given information:
- Sum of the ages of Aruna, Bhaskar, Chaitu, and Dinesh is 78.
- Aruna is 5 years older than Bhaskar.
- Chaitu is 3 years older than Dinesh.
- Aruna's age is 9 times the age of Dinesh.

Let's solve the problem step by step:

1. Represent the variables:
- Let A be the age of Aruna.
- Let B be the age of Bhaskar.
- Let C be the age of Chaitu.
- Let D be the age of Dinesh.

2. Translate the given information into equations:
- From the first statement, we know that A + B + C + D = 78.
- From the second statement, we know that A = B + 5.
- From the third statement, we know that C = D + 3.
- From the fourth statement, we know that A = 9D.

3. Simplify the equations:
- Substitute the second equation into the first equation: (B + 5) + B + C + D = 78.
- Substitute the third equation into the first equation: (B + 5) + B + (D + 3) + D = 78.
- Substitute the fourth equation into the first equation: 9D + B + (D + 3) + D = 78.

4. Simplify further:
- Combine like terms: 11D + B + 8 = 78.
- Rearrange the equation: B + 11D = 70.

5. Determine the possible ages of Chaitu:
- Since there are multiple solutions for the ages of Bhaskar (B) and Dinesh (D) that satisfy the equation B + 11D = 70, we cannot determine the exact age of Chaitu (C).
- Therefore, the correct answer is option E: Cannot be determined.

In conclusion, based on the given information, we cannot determine the age of Chaitu.

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