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Find the number of all three digit natural numbers which are divisible by 9. |
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Answer» Answer: The three digit numbers which are DIVISIBLE by 9 are 100.Step-by-step explanation: Three digit numbers which are divisible by 9 are 108,117,126,… ,999 First term , a = 108, COMMON DIFFERENCE ,d = 117 - 108 = 9 , an = 999
an = a + (n -1)d999 = 108 + (n - 1) × 9 999 = 108 + 9n - 9 999 = 108 - 9 + 9n 999 = 99 + 9n 999 - 99 = 9n 900 = 9n n = 900/9 n = 100 Hence,the three digit numbers which are divisible by 9 are 100.HOPE THIS ANSWER WILL HELP YOU... |
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