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CBSE Class 10 Answered

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Asked by arindeep.singh | 15 Jul, 2020, 10:17: PM
answered-by-expert Expert Answer
Question: On dividing a positive integer n by 9, we get 7 as remainder. What will be the remainder if (3n - 1) is divided 9?
Solution:
Dividing n by 9 gives remainder 7
n = 9x + 7
3n - 1 = 3(9x + 7) - 1 = 27x + 21 - 1 = 27x + 20 = 27x + 18 + 2 = 9(3x + 2) + 2
3n - 1 = 9(3x + 2) + 2
Hence, the remainder when 3n - 1 is divided by 9 will be 2.
Answered by Renu Varma | 16 Jul, 2020, 11:42: AM
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