Read the Question carefully and choose the correct option.
The average of the ages of three persons A, B and C is 45 years and the average age of A, C and D is 51 years. If the age of D is 56 years, what is the age of B?
1. 35 years
2. 38 years
3. 36 years
4. 36.5 years
तीन व्यक्तियों की उम्र का औसत ए, बी और सी 45 वर्ष है और ए, सी और डी की औसत आयु 51 वर्ष है। यदि D की आयु 56 वर्ष है, तो B की उम्र क्या है?
1. 35 years
2. 38 years
3. 36 years
4. 36.5 years
This Question came in
UGC-NET-English-07-January-2025-Shift-2-Q29
UGC-NET Paper 1 Full Course
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Detailed Explanation & Answer
We are given the average ages of different groups of people:
1st condition: The average age of A, B, and C is 45 years.
(A + B + C) / 3 = 45
=> A + B + C = 45 × 3
=> A + B + C = 135 ----(1)
2nd condition: The average age of A, C, and D is 51 years.
(A + C + D) / 3 = 51
=> A + C + D = 51 × 3
=> A + C + D = 153 ----(2)
We are also given that D = 56 years.
Step 1: Substitute D = 56 in equation (2):
A + C + 56 = 153
=> A + C = 153 - 56
=> A + C = 97 ----(3)
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