Question

find three consecutive odd integers whose sum is 195... how do u solve it?

Answer 1

ok, you're solving for three numbers, so you should start by converting them to variables..

ill use x, y z. Following so far?

Answer 2

yes...continue!

Answer 3

haha ok, well with these variables we can write this equation

x+ y + z = 195

After that, you can convert y and z into terms of x by noticing they are consecutive odd integers. any idea how to do that?

Answer 4

no...no idea...

Answer 5

alright, since these numbers are consecutive and odd, y = x+2 and z = y+2 = x+2+2, can you see how that works? so if x was 1, y would be 3, z would be 5

Answer 6

o...im followin...

Answer 7

so with the original equation, x + y + z = 195
you substitute the new values to get x+ (x+2) +(x+2+2) = 195

can you solve for x?

Answer 8

can i guess and check?!?!?!?

Answer 9

haha that wouldnt work very well, you have to solve 3x + 6 = 195 by first subtracting 6 from both sides then dividing by 3. What do you get?

Answer 10

63!!!!so x=63,y=65,and z=67!!!and 63+65+67=195!!!! yes!!!thanks a million!!!

Answer 11

yup you got it :)