Answer:
65 and 67
Step-by-step explanation:
two consecutive odd numbers would look like this:
x and x + 2
this is because of how counting numbers works:
1 2 3 4 5 6 7
the consecutive numbers here would be 1, 3, 5, 7, etc.
if one number (x) was 1, the next number would be (x + 2) which is three. This formula will work for all consecutive odd numbers.
so, x + x + 2 = 132
2x + 2 = 132
-2 -2
2x = 130
/2 /2
x = 65
the first number is x = 65
the second number is x + 2 which means this number is 65 + 2 = 67
(check: 65 + 67 = 132)
Answer:
65 and 67
Step-by-step explanation:
we can represent even numbers as 2n where n is an integer
so odd integers can be represented as 2n+1
consecutive odd integers are 2 apart (like 1,3,5, etc)
so we can represent the 2 odd consecutive integers as 2n+1 and 2n+3
their sum is 132
(2n+1)+(2n+3)=132
expand
2n+1+2n+3=132
4n+4=132
minus 4 from both sides
4n=128
divide both sides by 4
n=32
the numbers are 2n+1 and 2n+3
2n=2*32=64
2n+1=64+1=65
2n+3=64+3=67
the 2 integers are 65 and 67
