Question

Find two consecutive natural numbers whose sum is 75

Answer 1

Step-by-step explanation:

As a sum of two consecutive positive integers 75 = 37 + 38. As a sum of three consecutive positive integers 75 = 24 + 25 +26.

Answer 2

To find:

Two consecutive natural numbers whose sum is 75

Step-by-step explanation:

Here the sum is 75

Now 75 ÷ 2 = 37.5, but it is not a natural number.

Let us take (37.5 - 0.5) and (37.5 + 0.5) instead, that is 37 and 38. They are natural numbers.

Also 37 + 38 = 75

Answer: The consecutive natural numbers are 37 and 38.

We can find the solution in another way.

Let the two consecutive natural numbers be x and x + 1.

Then x + x + 1 = 75

⇒ 2x + 1 = 75

⇒ 2x = 74

⇒ x = 37

Then x + 1 = 37 + 1 = 38

Answer: The required numbers are 37 and 38.

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