6. If the sum of the digits of a number
10 - 1, where 'n' is a natural number, is equal to 3798,
then what is the value of n?
let n=1
(10^1)-1=3798
10-1=3798
n=3798/9
n=422
Note*=rest other answers are wrong...this is a right answer ...
(eg...379.9,379,423...all are wrong..
422 is a right answer)
Answers
Answered by
2
Step-by-step explanation:
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Answered by
1
Answer:
The value of n is 422.
Step-by-step explanation:
It is given that the sum of digits of a number 10ⁿ-1 is 3798.
We have to find the value of n.
Let n = 1:
10¹ - 1 = 10 - 1
10¹ - 1 = 9
sum of digits = 9 = 9 × 1
Let n = 2:
10² - 1 = 100 - 1
10² - 1 = 99
sum of digits = 9 + 9 = 18
sum of digits = 9 × 2
Let n = 3:
10³ - 1 = 1000 - 1
10³ - 1 = 999
sum of digits = 9 + 9 + 9 = 27
sum of digits = 9 × 3
That is, the sum of digits is given as 9n. Therefore,
3798 = 9n
n = 3798/9
n = 422
Therefore, the value of n is 422.
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