Answer:
54.5 and 56.5
Step-by-step explanation:
To solve this, we need to know the meaning of the term 'consecutive odd integers'
Consecutive odd integers are odd odd integers which follow each other in the pattern such as; 1, 3, 5, 7,9,11,13,15------etc
This implies they take the form n, n+2, n+4, n+6, n+8, n+10--------etc where n is an odd number.
Haven gotten the above definition, we will now proceed to solve the question.
we are ask to find the two consecutive odd numbers whose sum is 111
let the two numbers be n and n+2
n + n+2 =111
2n + 2 = 111
subtract 2 from both-side of the equation
2n + 2 - 2 = 111 -2
2n = 109
Divide both-side of the equation by 2
[tex]\frac{2n}{2}[/tex] = [tex]\frac{109}{2}[/tex]
(at the left-hand side of the equation 2 will cancel-out 2, leaving us with just n and on the right-hand side of the equation 109 will be divided by 2)
n = 54.5
The first number is n=54.5
The second number is n+2 = 54.5 + 2 =56.5
Therefore, the two consecutive numbers whose sum is 111 is 54.5 and 56.5
