Question

the sum of two consecutive numbers is 30. then the smaller number is.
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Answer 1

Answer:

a= 29/2

a+1=31/2 ....

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Answer 2

Answer:

Two consecutive even numbers have a sum of 30. What are the numbers?

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Let 2n = the first even number, where n is an integer, and ...

Let 2n + 2 = the second consecutive even number.

Since the sum of the two unknown numbers is 30, we can write the following equation to be solved for n as follows:

2n + (2n + 2) = 30

2n + 2n + 2 = 30

Collecting like-terms on the left, we get:

4n + 2 = 30

4n + 2 - 2 = 30 - 2

4n + 0 = 28

4n = 28

(4n)/4 = 28/4

(4/4)n = 28/4

(1)n = 7

n = 7

Therefore, ...

2n = 2(7) = 14 and

2n + 2 = 14 + 2 = 16

CHECK:

2n + (2n + 2) = 30

14 + (16) = 30

14 + 16 = 30

30 = 30

Therefore, the two desired consecutive even numbers whose sum is 30 are indeed 14 and 16.