Math, asked by dragarg72, 7 months ago

The sum of two consecutive even numbers is 38 find the numbers.​

Answers

Answered by suyashtilekar54
1

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

Answered by Anonymous
27

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... :)

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