Question

average of 29 consucetive even intiger is 60. the highest this intiger​

Answer 1

Answer:

Hope it helps you...

Step-by-step explanation:

Let 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

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Answer 2

let smallest be x

largest number would be x + 2*28

= x + 56

the sum of numbers

= x + x+2 + x+4 + ......+ x+56

= 29x + (2+4+...56)

= 29x + 2(1+2+...+28)

= 29x + 2*28*29/2

= 29x + 812

average = 60

(29x + 812)/29 = 60

x + 28 = 60

x = 60-28

x = 32

largest number = x + 56

= 32 + 56

= 88