SOLUTION: Using the following six digits, 1, 2, 4, 6, 8, and 9, fill in the blanks below to make the maximum product that you can. Use each digit only once. __ __ __ x __ __ __

Algebra.Com
Question 422247: Using the following six digits, 1, 2, 4, 6, 8, and 9, fill in the blanks below to make the maximum product that you can. Use each digit only once.
__ __ __ x __ __ __

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!

It's obvious that the largest two digits should go 
first in each number.

8 _ _ * 9 _ _

And it's obvious that the next two largest 
6 and 4 should go next. But there are two
possibilities for that:

8 6 _ * 9 4 _  or 8 4 _ * 9 6 _

So we just have four possibilities to try:

861 * 942 = 811062
862 * 941 = 811142
841 * 962 = 809042  
842 * 961 = 809162

So the winner is:

862*941 = 811142



In case you want to know the smallest product it's 148*269 = 39812

Edwin

RELATED QUESTIONS

Using the following six digits, 1, 2, 4, 6, 8, and 9, fill in the blanks below to make... (answered by Edwin McCravy,richard1234)
Fill in the blanks with > or < to make the resulting statement true: 2__-9 and -2(2)__... (answered by waynest)
Maximum numbers that can be formed using all the 4 digits 6 4 8 1 without repetition... (answered by MathLover1,josmiceli)
In a three-digit lottery, each of the three digits is supposed to have the same... (answered by stanbon)
Fill in the blanks, to make a true equation. 3/(3^2 - 1) + 3^2/(3^4 - 1) +... (answered by ikleyn)
If the digits 1 through 9 were written in order, it is possible to place plus and minus... (answered by jim_thompson5910)
Use your knowledge of polynomials to help the company design the box for one of its... (answered by ikleyn)
PLS HELP... ASAP... 1. Write all the three digit numbers using the digits 4,6 and 8... (answered by edjones)
Find the product of -x^2 + 2x - 5 and 3x + 2 _x^3 + _x^2 + _x + _ Use the given... (answered by greenestamps,mccravyedwin,math_tutor2020)