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# Question about challenge Q explanation

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Manager
Joined: 18 Apr 2007
Posts: 121
Followers: 1

Kudos [?]: 5 [0], given: 0

The question is: "How many three-digit numbers are there, so that each is evenly divisible by 7?"

The explanation listed out 4 easy steps to find the answer:
1. Find the highest and lowest multiples within the range
2. Find the positive difference of these two numbers
3. Divide the difference by the number in the question (in this case, 7)

My question is: Does this work all the time? How reliable are these steps with different questions?

Thanks for the help!

Bluebird
Senior Manager
Joined: 03 May 2007
Posts: 272
Followers: 1

Kudos [?]: 8 [0], given: 0

it should work all the time

let's find all three digit numbers that are divisible by 9

99+9 is the lowest number =12*9
999 is the highest number =111*9
total of three digit numbers is equal to 111-12+1=100
Manager
Joined: 30 Mar 2007
Posts: 220
Followers: 1

Kudos [?]: 3 [0], given: 0

yes it will as explained by cool
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