English

Five consecutive even integers are such that two times the second integer is ten more than the 5th integer. Find the sum of all five integers.

Advertisements
Advertisements

Question

Five consecutive even integers are such that two times the second integer is ten more than the 5th integer. Find the sum of all five integers.

Options

  • 90

  • 88

  • 92

  • 94

MCQ
Advertisements

Solution

90

Explanation:

Sum of all 5 integers

= n + (n + 2) + (n + 4) + (n + 6) + (n + 8) = 5n + 20

Also, we are given 2(n + 2) = (n + 8) + 10

⇒ 2n + 4 = n + 18 ⇒ n = 14,

Sum = 5(14) + 20 = 90

shaalaa.com
Number System (Entrance Exam)
  Is there an error in this question or solution?
Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×