The average weight of A, B and C is 49 kg. If the average weight of A and B is 35 kg and that of B and C is 62 kg, then the weight of B (in kgs) is?
Let the weight of A, B and C be p, q and r
According to the problem statement
⇒ (p + q + r)/3 = 49
⇒ p + q + r = 147 ----(1)
Now given that average weight of A and B is 35 kg
⇒ (p + q)/2 = 35
⇒ p + q = 70 ----(2)
Now, (1) – (2)
⇒ r = 147 – 70 = 77 ----(3)
Now given that average weight of B and C is 62 kg
⇒ (q + r)/2 = 62
⇒ q + r = 124 Using (3)
⇒ q = 124 – 77 = 47 years
∴ the weight of B is 47 years
Let ages of A, B and C are A, B and C respectively.
Then, Average age of A, B and C : (A+B+C)/3 =49
This gives A+B+C =49×3 A+B+C=147............EQ.1
Now given that average of A and B is 35 i.e. (A+B)/2= 35
This gives A+B= 35×2 =70 .................EQ.2
Also given that average of B and C is 62 i.e. (B+C)/2=62
This gives B+C=62×2 =124..................EQ.3
now adding EQ.1 and EQ.2 ;
We get, A+2B+C=194
A+C =194-B
putting value of A+C into EQ.1:
194-2B+B=147
B=47
Hence, the age of B is 47 Kg.
9. The average of 7 consecutive numbers is 20.The largest of these numbers is :