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Math Expert V
Joined: 02 Sep 2009
Posts: 53657
The average of four consecutive odd numbers is 24. Find the largest nu  [#permalink]

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Difficulty:   5% (low)

Question Stats: 100% (00:59) correct 0% (00:00) wrong based on 28 sessions

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The average of four consecutive odd numbers is 24. Find the largest number.

A. 20
B. 27
C. 36
D. 45
E. 46

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VP  P
Joined: 31 Oct 2013
Posts: 1268
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: The average of four consecutive odd numbers is 24. Find the largest nu  [#permalink]

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Bunuel wrote:
The average of four consecutive odd numbers is 24. Find the largest number.

A. 20
B. 27
C. 36
D. 45
E. 46

$$\frac{x + x + 2 + x + 4 + x + 6}{4}$$ = 24

4x + 12 = 96

4x = 84

x = 21.

largest integer = x + 6 = 21 + 6 = 27.

B is our answer.
SVP  P
Joined: 18 Aug 2017
Posts: 2322
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Re: The average of four consecutive odd numbers is 24. Find the largest nu  [#permalink]

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Bunuel wrote:
The average of four consecutive odd numbers is 24. Find the largest number.

A. 20
B. 27
C. 36
D. 45
E. 46

x+x+2+x+4+x+6 = 96
4x+12=96
x= 21
x+6 ; 27
IMO B
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Intern  B
Joined: 24 Jun 2018
Posts: 14
Re: The average of four consecutive odd numbers is 24. Find the largest nu  [#permalink]

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The solutions posted above are correct.

A slightly alternative way to tackle the problem is posted below. This way has less computation.

Let the 4 consecutive odd numbers be x-3, x-1, x+1, x+3

Given that (x-3 + x-1 + x+1 + x+ 3)/4 = 24

4x/4=24

x=24

Our greatest number in the above assumed series is x+3.
Hence, x+3 = 27.

Hence the answer is B
Intern  B
Joined: 02 Jun 2013
Posts: 29
Re: The average of four consecutive odd numbers is 24. Find the largest nu  [#permalink]

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For easy calculation we can take consecutive numbers as -

x-2,x,x+2,x+4

Avg of them is 24

SUm of numbers = 4x+4
Avg of number = x+1

This equals to 24 .

So x+1 = 24
x= 23

largest number =x+4 = 27
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VP  P
Joined: 07 Dec 2014
Posts: 1155
The average of four consecutive odd numbers is 24. Find the largest nu  [#permalink]

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Bunuel wrote:
The average of four consecutive odd numbers is 24. Find the largest number.

A. 20
B. 27
C. 36
D. 45
E. 46

because the numbers are a consecutive odd sequence,
24 will be their median also, between 23 and 25
27
B
Target Test Prep Representative P
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Joined: 14 Oct 2015
Posts: 5357
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Re: The average of four consecutive odd numbers is 24. Find the largest nu  [#permalink]

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Bunuel wrote:
The average of four consecutive odd numbers is 24. Find the largest number.

A. 20
B. 27
C. 36
D. 45
E. 46

Let x = the smallest (odd) integer. The next consecutive odd integer is x + 2, and the two consecutive odd integers after that are x + 4 and x + 6. We can create the equation:

(x + x + 2 + x + 4 + x + 6)/4 = 24

4x + 12 = 96

4x = 84

x = 21, so the largest integer is 27.

Alternate Solution:

By looking at the answer choices, we can reject choices A, C and E since they are not odd. We can also reject choice D since, if the largest number is 45, the average could never be 24. So the only correct answer is choice B (27) and it’s reasonable since 27 is close to the average (24).

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See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews Re: The average of four consecutive odd numbers is 24. Find the largest nu   [#permalink] 24 Feb 2019, 06:50
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# The average of four consecutive odd numbers is 24. Find the largest nu

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