Answer :

The average of 5 consecutive numbers starting from b is a+4.

Average of 5 numbers starting from a :

Avg = (a+a+1+a+2+a+3+a+4)/5

Avg = a+2

=> b = a+2

Average of 5 numbers starting form b :

Avg = (b+b+1+b+2+b+3+b+4)/5

Avg = b+2

Substituting b = a+2

Avg = (a+2) + 2

Avg = a+4

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