The sum of three consecutive positive even integers is 180. Find these numbers.
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Answered by
2
Answer:
The numbers are 58, 60 and 62.
Step-by-step explanation:
(x) + (x+2) + (x+4) = 180
⇒ 3x + 6 = 180
⇒ 3x = 180 - 6 = 174
⇒ x = 174/3 = 58
⇒ x + 2 = 58 + 2 = 60
⇒ x + 4 = 58 + 4 = 62
Answered by
2
Let us say those numbers be
x-1, x, x+1
Then as given in the problem
Their sum =180
That implies
(x-1) + x +(x+1) = 180
That implies
3x =180 wherein -1 and 1 summates zero
That implies
X = 180/3
That implies
X=60
Now the three numbers can be get by substituting the value of x in each one of them
That implies
X-1 = 60-1 = 59
X =60
X+1= 60+1 = 61
x-1, x, x+1
Then as given in the problem
Their sum =180
That implies
(x-1) + x +(x+1) = 180
That implies
3x =180 wherein -1 and 1 summates zero
That implies
X = 180/3
That implies
X=60
Now the three numbers can be get by substituting the value of x in each one of them
That implies
X-1 = 60-1 = 59
X =60
X+1= 60+1 = 61
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