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The average of 29 consecutive even integers is 60. The highest of these integers is

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The average of 29 consecutive even integers is 60. The highest of these integers is
1). 88
2). 118
3). 176
4). 120

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2 answers

2 vote
Answered by on | Votes 2 |
88

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2 vote
Answered by on | Votes 2 |

first even no be n

next one will be n+2 and then n+4 and so on.. till n+56

 

average of numbers = n+n+2+n+4+......+ n+56/ 29

(29n + 2+4+....+56) / 29 =60

 

 

2+4+..+56 = 28/2[2*2 + (28-1)2]           (sum of AP with d=2)

                =14*58=812

 

 

29n+ 812=29*60=1740

29n=928

n=32

 

highest value =n+56=32+56=88

Accepted Answer




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