the sum of 3 consequtive even numbers is 66 . find the numbers
Answers
Answered by
1
Answer:
So the three numbers are:
20
;
22
;
24
Explanation:
You have to 'jump' an odd number to get to the next even number. So even numbers occur every second place (counting in 2's)
Set the first even number as
n
Then the second is
n
+
2
The third is
n
+
4
(
n
)
+
(
n
+
2
)
+
(
n
+
4
)
=
3
n
+
6
=
66
Subtract 6 from both sides
3
n
=
60
Divide both sides by 3
n
=
20
So the three numbers are:
20
;
22
;
24
Answered by
2
Answer:
Three consecutive even numbers are 20, 22 and 24
Step-by-step explanation:
Let x,x+2 and x+4 be three consecutive even numbers.
their sum is 66
x+x+2+x+4=66
3x+6=66
3x=66-6
3x=60
×=20
Therefore, three consecutive even numbers are x=20,x+2=22 and x+4=24
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