Math, asked by jeyaraman5917, 9 months ago

The average of 19 consecutive even integers is 50. The highest of these integers is

A) 88 B) 68 C) 126 D) 100

Answers

Answered by srutisumani
0

Answer:

the answer is Option B that is 68..

Step-by-step explanation:

let the lowest even integer be x

the sum of 19 even integer =50×19=950

  1. 1st integer =x
  2. 2nd integer =x+2
  3. 3rd integer =x+4
  4. 4th integer=x+6
  5. 5th integer =x+8
  6. 6th integer =x+10
  7. 7th integer =x+12
  8. 8th integer =x +14
  9. 9th integer =x+16
  10. 10th integer =x+18
  11. 11th integer =x+20
  12. 12th integer =x+22
  13. 13th integer =x+24
  14. 14th integer =x +26
  15. 15th integer =x +28
  16. 16th integer =x+30
  17. 17th integer =x +32
  18. 18th integer =x +34
  19. 19th integer =x +36

the highest integer is x+36

sum of the 19 even integer =19x+342

according to question; 19x+342=19×50

so,x=32

the highest integer =x+36=32+36=68

so the answer is 68..

Hope it helps you mate!!!!

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