The average age of A and B is 30 years, the average age of B and C is 32 years and the average age of C and A is 34 years. The age of C is

This question was previously asked in
Bihar STET TGT (Sanskrit) Official Paper-I (Held On 11 Sept, 2023 Shift 1)
View all Bihar STET Papers >
  1. 33 years 
  2. 34 years 
  3. 35 years 
  4. 36 years 

Answer (Detailed Solution Below)

Option 4 : 36 years 
Free
Bihar STET Paper 1 Mathematics Full Test 1
14 K Users
150 Questions 150 Marks 150 Mins

Detailed Solution

Download Solution PDF

Given:

The average age of A and B is 30 years. that of B and C is 32 years and that of C and A is 34 years. 

Concept used:

Average

Calculation:

The average of A and B is 30 years

⇒ (a + b) / 2 = 30

⇒ (a + b) : 30 × 2 = 60 

The average of B and C is 32 years

⇒ (b + c) / 2 = 32

⇒ (b + c) = 32 × 2 = 64

The average of A and C is 34 years

⇒ (a + c) / 2 = 34

⇒ (a + c) = 34 × 2 = 68

Average : (60 + 64 + 68)/2 = 96 years50 + 60 + 642=87

(a + b + c) = 96

Age of c = 96 - (a + b)

Age of c = 96 - 60

Age of c = 36 years.

The answer is 36 years.

Latest Bihar STET Updates

Last updated on Jan 29, 2025

-> The Bihar STET 2025 Notification will be released soon.

->  The written exam will consist of  Paper-I and Paper-II  of 150 marks each. 

-> The candidates should go through the Bihar STET selection process to have an idea of the selection procedure in detail.

-> For revision and practice for the exam, solve Bihar STET Previous Year Papers.

Get Free Access Now
Hot Links: teen patti jodi teen patti octro 3 patti rummy teen patti download teen patti flush teen patti master apk download