Answer:
1st odd = 57
2nd odd = 59
3rd odd = 61
Step-by-step explanation:
Suppose the numbers to be:
1st odd = x -2
2nd odd = x
3rd odd = x +2
Now according to given conditions:
1st odd + 2nd odd + 3rd odd = 177
x - 2 + x +x + 2 = 177
By add -2 and + 2 will be cancelled
Adding all x
3x = 177
Dividing both sides by 3 we get
x = 177 / 3
x = 59
Now putting x = 59 to get three consecutive odds:
1st odd = x -2 = 59 - 2 = 57
2nd odd = x = 59
3rd odd = x +2 = 59 + 2 = 61
Proof:
1st odd + 2nd odd + 3rd odd = 177
57 + 59 + 61 = 177
177 = 177
hence proved
I hope it will help you!
Answer:
91 is the largest of the three numbers.
Step-by-step explanation:
Let the number be x, (x+2) and (x+4).
Given that the sum of these three odd consecutive numbers is 177.
[tex]x+(x+2)+(x+4)=177[/tex]
[tex]3x+6=177[/tex]
[tex]3x=177-6[/tex]
[tex]3x=171[/tex]
[tex]x=\frac{171}{3}=57[/tex]
The number are : x = 57
(x+2) = 57 + 2 = 59
(x+4) = 57 +4 = 61
91 is the largest of the three numbers.
