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which of the five numbers is multiplied by 3?

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which of the five numbers is multiplied by 3? [#permalink]

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New post 24 Jan 2018, 02:52
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A
B
C
D
E

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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
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Re: which of the five numbers is multiplied by 3? [#permalink]

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New post 24 Jan 2018, 03:19
1
Let say the unknown digit be x and the sum of the remaining four digits be y.

Now (x+y)/5=7 ie y=35-x

Also (3x+y)/5=9.4 ie y=47-3x

Solving for x, the multiplied number is 6. Option D

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Re: which of the five numbers is multiplied by 3? [#permalink]

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New post 24 Jan 2018, 04:16
selim wrote:
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


hi

initial sum = 7*5=35
sum after a number is increased 3 times = 9.4*5=47
Increase = 47-35=12..

IMPORTANT point - number is multiplied by 3 MEANS number increases by 2 times..
so 2x=12...x=6

D
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Re: which of the five numbers is multiplied by 3? [#permalink]

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New post 24 Jan 2018, 04:31
selim wrote:
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 the numbers a,b,c,d,e

a+b+c+d+e= 5 *7..........1

If a is multiplied by 3 (or any number)

3a+b+c+d+e= 5 *9.4 (do not bother multiply now).............2

Subtract 1 from 2

2a = 5 (9.4 -7) = 5 * 2.4).........divide by 2

a = 5 * 1.2 = 6

Answer: D

Tip: Sometimes it is easier not rush multiply numbers
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which of the five numbers is multiplied by 3? [#permalink]

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New post 24 Jan 2018, 06:39
selim wrote:
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


\(a + b + c + d + e = 35\)--------------------->(I)
\(3a + b + c + d + e = 47\)------------------->(II)

\((II) - (I)\) : \(2a = 12\) , \(a = 6\), Answer must be (D)
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which of the five numbers is multiplied by 3?   [#permalink] 24 Jan 2018, 06:39
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