In two offices the average number of computers is 10. If 4 more comput

1.	In two offices the average number of computers is 10. If 4 more computers are added to the 1st office, the average number of computers in both the office will be 12. If 4 more computers are added to the 2nd office, the 2nd office would have double the number of computers than the 1st one. Find the number of computers in the 2nd office?1. 152. 143. 114. 12
Answer» Correct Answer - Option 4 : 12 Given: In two offices the average number of computers is 10. If 4 more computers are added to the 1^st office, the average number of computers in both the office will be 12. If 4 more computers are added to the 2^nd office, the 2^nd office would have double the number of computers than the 1^st one. Formula: Average of n numbers a1, a2 ... an = (a1 + a2 + ... an)/n Calculation: Let x be the number of computers in 1^st office and y be the number of computers in 2^nd office Then, x + y = 20 Given, if 4 more computers are added to the 1^st office, the average number of computers in both the office will be 12 x + 4 + y = 12 × 2 x + 4 + y = 24 ----(1) Given, if 4 more added to the 2^nd office, the 2^nd office would have double the number of computers than the 1^st one y + 4 = 2x ----(2) Putting value of y + 4 in eq(1) x + 2x = 24 x = 8 We know, x + y = 20 8 + y = 20 Y = 12 So, computers in 2^nd office is 12

In two offices the average number of computers is 10. If 4 more computers are added to the 1st office, the average number of computers in both the office will be 12. If 4 more computers are added to the 2nd office, the 2nd office would have double the number of computers than the 1st one. Find the number of computers in the 2nd office?1. 152. 143. 114. 12

Answer» Correct Answer - Option 4 : 12

Given:

In two offices the average number of computers is 10. If 4 more computers are added to the 1^st office, the average number of computers in both the office will be 12. If 4 more computers are added to the 2^nd office, the 2^nd office would have double the number of computers than the 1^st one.

Formula:

Average of n numbers a1, a2 ... an = (a1 + a2 + ... an)/n

Calculation:

Let x be the number of computers in 1^st office and y be the number of computers in 2^nd office

Then,

x + y = 20

Given, if 4 more computers are added to the 1^st office, the average number of computers in both the office will be 12

x + 4 + y = 12 × 2

x + 4 + y = 24 ----(1)

Given, if 4 more added to the 2^nd office, the 2^nd office would have double the number of computers than the 1^st one

y + 4 = 2x ----(2)

Putting value of y + 4 in eq(1)

x + 2x = 24

x = 8

We know,

x + y = 20

8 + y = 20

Y = 12

So, computers in 2^nd office is 12

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