How many number between 800 and 1100 will be completely divisible by 79?
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Answer:
3 numbers come in between 800 and 1100 which will be divisible by 79
Step-by-step explanation:
L = A + (N - 1)*D,
Here, L is the last digit,
A is the first digit,
N is the number of digits in between, and D is the difference.
So, A =869 (after 800 this is the first number which is completely divisible by 79)
L = 1027 (last number which is divisible by 79 completely in 800–1100 range).
D = 79, and N we need to calculate.
1027=869+(N-1)*79
1027-869=79N-79
158+79=79N
79N=237
N=237/79
N=3
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