The sum of three consecutive odd integers is 201.What are the integers?
The 1st:
The 2nd:
The 3rd:
+130536 Let the first odd integer = 2n + 1, the second, 2n + 3 and the third = 2n + 5......and we have
2n + 1 + 2n + 3 + 2n + 5 = 201 simplify
6n + 9 = 201 subtract 9 from both sides
6n = 192 divide both sides by 6
n = 32
So...the first integer = 2(32) + 1 = 65.....the second is 67 and the third = 69
Here's a faster way to do this:
Divide 201 by 3 = 67 add 2 to this = 69 and subtract 2 from this = 65........and there's your three integers !!!
