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August 30, 2014

August 30, 2014

Posted by **gary** on Saturday, July 13, 2013 at 11:01am.

B. The average of four consecutive odd integers is 16. Find the largest integer.

C. When the sum of three consecutive integers is divided by 9 the result is 7. Find the three integers.

D. If each of three consecutive integers is divided by 3, the sum of the quotients is 84. Find the smallest integer.

- math -
**PsyDAG**, Saturday, July 13, 2013 at 1:09pmA. Let x = odd, then x+1 = even

4x + 14 = 3(x+1)

Solve for x.

B. (x + x+1 + x+2 +x+3)/4 = 16

C. (x + x+1 + X+2)/9 = 7

I'll leave you to use a similar process to solve the last one.

- math -
**gary**, Saturday, July 13, 2013 at 1:20pmthe number B (?)

four consecutive odd integers

(X + X+2 + X+4 + X+6 ) /4 = 16

I'm not sure

- math -
**gary**, Saturday, July 13, 2013 at 1:24pmD.

( x + x+1 + x+2 )/3=84

- math -
**Steve**, Saturday, July 13, 2013 at 7:18pmB. your equation is right, so X=13

Or, you can look at it as follows. If the average is 16, the odd numbers are evenly spaced above and below 16:

13,15,17,19

D.

again, your equation is correct. x=83

again, it's an average problem. The numbers are evenly spaced around 84:

83,84,85

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