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# The average age of A,B,C,D five years ago was 45 years. By including X

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Joined: 02 Sep 2009
Posts: 58323
The average age of A,B,C,D five years ago was 45 years. By including X  [#permalink]

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21 Feb 2019, 00:39
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Difficulty:

25% (medium)

Question Stats:

76% (01:28) correct 24% (02:11) wrong based on 21 sessions

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The average age of A,B,C,D five years ago was 45 years. By including X, the present average age of all the five is 49 years. The present age of X is :

A. 64 years
B. 48 years
C. 45 years
D. 40 years
E. 39 years

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Re: The average age of A,B,C,D five years ago was 45 years. By including X  [#permalink]

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21 Feb 2019, 02:18
Bunuel wrote:
The average age of A,B,C,D five years ago was 45 years. By including X, the present average age of all the five is 49 years. The present age of X is :

A. 64 years
B. 48 years
C. 45 years
D. 40 years
E. 39 years

Total age of A,B,C,D = (45 * 4 ) + 20 = 400

***** 20 must be added to the total age of A,B,C,D . 45 is basically the average of 5 years ago. In total 4*5 = 20 years gap to the current age of these guys.

Total age including X = 49 * 5 = 245

Difference = 245 - 200 = 45.

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Re: The average age of A,B,C,D five years ago was 45 years. By including X  [#permalink]

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21 Feb 2019, 09:39
Bunuel wrote:
The average age of A,B,C,D five years ago was 45 years. By including X, the present average age of all the five is 49 years. The present age of X is :

A. 64 years
B. 48 years
C. 45 years
D. 40 years
E. 39 years

sum of age a,b,c,d = 45*4 ; 180
and 5 years added to each = 20 yrs ; actual age as of today ; 200
so 200+x= 49*5 ;
x = 45
IMO C
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Re: The average age of A,B,C,D five years ago was 45 years. By including X  [#permalink]

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24 Feb 2019, 06:41
Bunuel wrote:
The average age of A,B,C,D five years ago was 45 years. By including X, the present average age of all the five is 49 years. The present age of X is :

A. 64 years
B. 48 years
C. 45 years
D. 40 years
E. 39 years

If the average age of A, B, C, D five years ago was 45 years, their average age now is 50 years. Therefore, the sum of their ages is 4 * 50 = 200. Adding the 5th age of X, we have:

(200 + X)/5 = 49

200 + X = 245

X = 45

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Re: The average age of A,B,C,D five years ago was 45 years. By including X   [#permalink] 24 Feb 2019, 06:41
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