Question

The code to unlock a safety deposit box is three consecutive odd integers whose sum is 81. Find the integers.

Answer 1

ok if n is an odd number
what is the very next odd number?

Answer 2

i just don't get this! :(

Answer 3

if n is odd, wouldn't the next integer, n+1, be even?
So the next odd integer would be n+2, right?

Answer 4

can you explain?

Answer 5

@freckles

Answer 6

say we have 3
what is the next odd integer after 3?

Answer 7

do you know what odd integers are?

Answer 8

6, 9?

Answer 9

6 is even because it is an integer divisible by 2
9 is odd because it an integer not divisible by 2

the next odd integer after 3 is 5

Answer 10

ohhh right, i got confused

Answer 11

1,3,5,7,9,11,13,15,17,19,21,23,25,27,... are all odd integers
2,4,6,8,10,12,14,16,18,20,22,24,26,28,... are all even integers

Answer 12

notice odd numbers are every other number

Answer 13

just like even numbers are every other number

Answer 14

so if i say n is an odd integer the next odd integer would not be n+1, but it would be n+2

Answer 15

because n,n+1 is not every other number

Answer 16

just like 3,3+2 <--this is two consecutive odd integers

Answer 17

replace 3 with n
n,n+2 <--this is two consecutive odd integers

Answer 18

so what would the next odd consecutive integer after the n+2?

Answer 19

i will make it multiple choice for you:
Fill in the blank.
Assuming n is odd, the next odd integer after n+2 is __________.

A) n+1
B) n+3
C) n+4
D) n+5

Answer 20

think about it 3,5,7 are 3 consecutive odd integers
if we write 5 and 7 in terms of 3 and some other number we have
3,3+2,3+4

Answer 21

i just dont get it!! :(

Answer 22

again replace that 3 with n

Answer 23

n,n+2,n+4,n+6,n+8,n+10 are all odd assuming n is odd
n,n+2,n+4,n+6,n+8,n+10 are all even assuming n is even

Anyways the question says we have the sum of 3 conseuctive odd integers add up to be 81
we just said n,n+2,n+4 are 3 consecutive odd integers
so we know by what was given that we have (n)+(n+2)+(n+4)=81

Answer 24

So you need to solve n+n+2+n+4=81 for n