First, here's the easy way to do it, but your
teacher won't accept it because it doesn't use
algebra:
Their average will be their sum divided by
3 or 171÷3 = 57,
The only 3 consecutive odd integers that average
57 are the three with 57 in the niddle, which are
55,57, and 59.
-------------------
That's the easy way. Here's the algebra way, that
your teacher will accept:
The smallest odd integer = x
The middle sized odd integer = x+2
The largest odd integer = x+4
x + (x+2) + (x+4) = 171
x + x + 2 + x + 4 = 171
3x + 6 = 171
3x = 165
x = 55
The smallest odd integer = x = 55
The middle sized odd integer = x+2 = 55+2 = 57
The largest odd integer = x+4 = 55+4 = 59
Edwin
