Question

A. Four times one odd integer is 14 less than three times the next even integer. Find the integers.

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.

Answer 1

A. 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.

Answer 2

the number B (?)

four consecutive odd integers

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

I'm not sure

Answer 3

D.

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

Answer 4

B. 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