How to form an AP series of a three digit number divisible by XYZ!? I need step by step explanation!
Answers
Answer:
To get the greatest difference, we want to subtract a small number from a large one, so we will need the digit 9 and 1, to make numbers in 100s and the number 900s.
Let y be the digit from 2 to 8.
The larger three-digit number will look like 9y1, while the smaller three-digit number will look like 1y9.
Assume a three digits number lets say 189.
Then the largest possible three-digit number after rearranging the above number is 981.
⇒981−189=792
Again assume a three digits number lets say 149.
Then the largest possible three-digit number after rearranging the above number is 941.
⇒941−149=792
As you see no matter what is the value you are plugging for y their difference is constant i.e:792, which is the highest possible difference.
Answer:
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