How do you find three consecutive odd integers such that the sum of the first and third equals the sum of the second and 25?
1 Answer
Jun 29, 2016
The three consecutive odd integers are 23, 25, 27.
Explanation:
Let
So,
Let's us translate the given expression into algebraic expression:
sum of the first and the third integer equals the sum of the second and 25
that means :
if we add the first and third integer that is :
equals to the sum of the second and 25:
The equation will be stated as:
Solving the equation we have:
So the first odd integer is 23
The second integer will be
The third integer is
So the three consecutive odd integers are:23 ,25 ,27.