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# Out of four numbers, the average of first three is 15 and that of the

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Math Expert
Joined: 02 Sep 2009
Posts: 61283
Out of four numbers, the average of first three is 15 and that of the  [#permalink]

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24 Feb 2019, 23:22
00:00

Difficulty:

15% (low)

Question Stats:

80% (01:19) correct 20% (01:35) wrong based on 45 sessions

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Out of four numbers, the average of first three is 15 and that of the last three is 16. If the last number is 19, the first is :

A. 15
B. 16
C. 18
D. 19
E. 20

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Joined: 31 Oct 2013
Posts: 1491
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: Out of four numbers, the average of first three is 15 and that of the  [#permalink]

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25 Feb 2019, 00:33
1
Bunuel wrote:
Out of four numbers, the average of first three is 15 and that of the last three is 16. If the last number is 19, the first is :

A. 15
B. 16
C. 18
D. 19
E. 20

Sum of the first 3 numbers = 3 * 15 = 45.

Sum of the last 3 numbers = 3 * 16 = 48.

2nd+ 3rd + 4th = 48

2nd + 3rd + 19 = 48

2nd + 3rd = 29.

Again ,

1st + 2nd + 3rd = 45

1st + 29 = 45

1st = 45 - 29

1st = 16.

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Re: Out of four numbers, the average of first three is 15 and that of the  [#permalink]

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25 Feb 2019, 01:02
Bunuel wrote:
Out of four numbers, the average of first three is 15 and that of the last three is 16. If the last number is 19, the first is :

A. 15
B. 16
C. 18
D. 19
E. 20

a+b+c=45
and b+c+d=48
d=19
so b+c= 29
so
a = 45-29 ; 16 IMO B
Re: Out of four numbers, the average of first three is 15 and that of the   [#permalink] 25 Feb 2019, 01:02
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