Find two consecutive natural number whose sum is 75 in step by step explanation
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Answer:
Step-by-step explanation:
The answer is 37 and 38
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The two consecutive numbers are 37 and 38
Given:
Sum of two consecutive natural number is 75
To find:
Find the two consecutive natural numbers
Solution:
Consecutive natural number:
- Consecutive numbers are numbers which follow each other in order from the small to the large number with common difference 1 or some times it will be more than 1 [according to given set of numbers]
- Example: 1, 2, 3, 4 are 4 consecutive number
3, 5, 7 are 3 consecutive odd numbers
Given sum of two consecutive natural number is 75
Let x be a natural number then its consecutive number will be x+1
⇒ Two consecutive numbers are x and x+1
Given sum of (x, x+1) = 75
⇒ x + x + 1 = 75
⇒ 2x = 74
⇒ x = 37
⇒ x+1 = 37 +1 = 38
Therefore, the two consecutive numbers are 37 and 38
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