Product of Two Numbers generate Maximum value

Puzzle # 14

Using the digits 1 up to 9, two numbers must be made. The product of these two numbers should be as large as possible. All digits must be used exactly once

• By Multiplying only Two Numbers say A & B, Maximum Value needs to be generated.
• These two numbers A and B should cover all the digits from 1 to 9.

What are the TwoNumber (A & B) ??


Solution
Remember two rules to generate Max Product.

1. Difference of two numbers should be minimum to attain Max Product
2. Higher value digits be placed in Most significant side of Number i.e., Let us say number A is a 5 digit number and assume it's value to be A=abcde
1. In above a,b,c,d,e are digits.
2. Possible digit values are a > b > c > d > e

If we follow the above rules, Then numbers are

A = 96521

B = 8743

Note : In above while calculating the Numbers, A Snake structure is followed starting from 9 as shown below :

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