Question

The average of 13 consecutive integers is 140 find the largest number

Answer 1

Answer:

146

Step-by-step explanation:

Whenever you find this type of question, use this METHOD

Since there are thirteen consecutive number, Let the seventh number be x

Therefore the numbers are (x-6) , (x-5) , (x-4), (x-3), (x-2) , (x-1) , x , (x+1) , (x+2) , (x+3) , (x+4) , (x+5) , (x+6)

Now given : the average of these numbers is 140

AVERAGE = (Sum of all quantities) / ( No. Of quantities)

=> 140 = {(x-6) + (x-5) + (x-4) + (x-3) +...+(x+4) + (x+5)} / 13

=> 140 = 13x/13

=>140 = x

Since the largest number would be (x+6)

Therefore the largest number is 140 + 6 = 146...

HOPE IT HELPS...!!!