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Bunuel
The average of the five members is 7. If one of the members is multiplied by 3, the average of the numbers increases to 9.4. Which of the five numbers is multiplied by 3?

A. 4
B. 5
C. 5.6
D. 6
E. None of these

let x=number multiplied by 3
5*7=35
35+2x=5*9.4→
x=6
D
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Archit3110
Bunuel
The average of the five members is 7. If one of the members is multiplied by 3, the average of the numbers increases to 9.4. Which of the five numbers is multiplied by 3?

A. 4
B. 5
C. 5.6
D. 6
E. None of these

total sum ; 5*7 ; 35
now multiied by 3 ; 9.4 ; sum ; 47
∆ ; 12
no multiplied by 3 ; 12/3 ; 4
IMO A


Hi Archit 3110,

IMHO, I feel you have made a mistake in your approach.

If we test your answer i.e 4 and assume 'others' as the sum of the other four numbers, we get the following:

4 + others = 35 ---> eqn (1)
others=31

So we know that the sum of 'others' will always remain the same. After the '4' was multiplied by 3, we get the following equationL

12+ others=47
12+31 =47 --> eqn (2) which is NOT CORRECT.

When we multiply by 3, we can say we are adding to the original number a multiple of 2.

So a + others=35
3a + others=47

Hence 2a=12....and a=6.

The answer should be (D): 6

Hope this helps!
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