Average age of A and B is 30 years, that of B and C is 32 years and the average age of C and A is 34 years. The age of C is?
- 33 years
- 34 years
- 35 years
- 36 years
Explanation
Average of A & B is
( A+B) /2 = 30 ⇒ A+B=60 ⇒ A= 60 – B —- (i)
( B+C)/2 = 64 ⇒B+C = 64 ⇒ B= 64 – C—- ( ii )
Putting value of B in equation ( i )
⇒ A= 60 – 64 +C ⇒ A = -4 + C —– ( iii)
( C+A)/2 = 34 ⇒ C+A=68 ⇒ C = 68 – A —–(iv)
Puuting value of A from eaquation ( iii) to eq. (iv)
⇒ C= 68 +4 -C ⇒ C =36
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