Answer:

Answer:

The sum of smallest odd number and second largest even number is 163.

Step-by-step explanation:

It is given that the sum of 8 consecutive odd numbers is 656.

Let the 8 consecutive odd numbers are x, x+2, x+4, x+6, x+8,x+10, x+12, x+14.

x+(x+2)+(x+4)+(x+6)+(x+8)+(x+10)+(x+12)+(x+14)=656x+(x+2)+(x+4)+(x+6)+(x+8)+(x+10)+(x+12)+(x+14)=656

8x+56=6568x+56=656

8x=6008x=600

x=75x=75

The value of x is 75. The sum of smallest odd number is 75.

It is given that the average of 4 consecutive even number is 87.

Let the 4 consecutive even number are y, y+2, y+4, y+6.

\frac{y+(y+2)+(y+4)+(y+6)}{4}=87

4

y+(y+2)+(y+4)+(y+6)

=87

4Y+12=3484y+12=348

4y=3364y=336

y=84y=84

The value of y is 84. The second largest even number is

y+4=84+4=88y+4=84+4=88

The sum of smallest odd number and second largest even number is

75+88=16375+88=163

Therefore the sum of smallest odd number and second largest even number is 163.

Step-by-step explanation:

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