how many whole numbers between 1 to 1000 are equal to 6 times a number
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Answered by
3
Answer:
there are 111 whole no between 1 to 1000
Answered by
1
Answer:
There are 166 whole numbers between 1 to 1000 are equal to 6 times a number.
Step-by-step explanation:
- Given range of numbers : 1 to 1000.
- 6 times of any numbers are multiple of 6 and these numbers will form an AP : 6,12,18,24 ..........x; where x is a multiple of 6 and x< 1000.
- Now, 1000 ÷ 6 = 166 with remainder 4;
- So, the greatest number that is divisible by 6 and less than 1000 is 1000-4 = 996
- So the Series is : 6,12,18, 24......... 996.
- Let there are n numbers of elements in this series, a is the 1st term and d is the Common difference.
so , x = a + (n - 1)d
⇒ 996= 6 + (n - 1)6
⇒ 996 = 6 +6n - 6
⇒ 6n = 996
⇒ n = 996/6
⇒ n = 166
- Hence, there are 166 numbers in the AP series 6,12,18, 24......... 996.
- So, we can conclude that , there are 166 whole numbers between 1 to 1000 are equal to 6 times a number.
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