The sum of two consecutive even numbers is 38 find the numbers.
Answers
Step-by-step explanation:
The sum of two consecutive numbers is 38. What are they?
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Let n be the first of two consecutive numbers.
Let n + 1 be the second of the two consecutive numbers.
Since the SUM of the two consecutive numbers is 38, we can write the following equation:
n + (n + 1) = 38
n + n + 1 = 38
Collecting like terms, we have:
2n + 1 = 38
Subtracting 1 from both sides, we have:
2n + 1 - 1 = 38 - 1
2n + 0 = 37
2n = 37
Now, dividing both sides by 2, we get:
2n/2 = 37/2
(2/2)n = 18.5
(1)n = 18.5
n = 18.5
Therefore, ...
n + 1 = 18.5 + 1 = 19.5
Therefore, ...
18.5 and 19.5 are our two consecutive numbers.
Check:
n + (n + 1) = 38
18.5 + (18.5 + 1) = 38
18.5 + 19.5 = 38
38 = 38
Answer:
Step-by-step explanation:
hello!
Let the two consecutive even numbers be x and (x+2).
therefore,
x+(x+2)=38
=>2x+2=38
=>2x=38-2
=>x=36÷2
=>x=18
therfore, the first number is 18.
The consecutive even number is (18+2)=20
Ans.The two consecutive even numbers are 18 and 20.
hope it helps... :)