The sum of 8 consecutive odd numbers is 656. Also, average of four consecutive even numbers is 87. What is the sum of the smallest odd number and second largest even number?
[Bank of Baroda (PO), 2011]
Explanation
Let the First odd number be 'x'
Then, 8 consecutive odd numbers are as
x-8, x-6, x-4, x-2, x
x+2, x+4, x+6
Now, (x-8)+(x-6)+(x-4)+(x-2)+x+(x+2)+(x+4)+(x+6)=656
⇒ 8x-8=656
⇒ 8x=656+8
⇒ 8x=664
⇒ x=83
Now, let four consecutive even numbers be y-2, y, y+2 and y+4
Now, 4y+4=87×4
⇒ 4y+4=348
⇒ 4y=348
⇒ y=86
Now, smallest even number =86-8= 78
Second largest even number =88
∴ Sum of both the numbers =88+78=166
Hence, Option E is correct.
- Share with your friends! -
Login to post your comment here...
- or with social Account -