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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 the second
largest even number?
Answers
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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