Use each of the five digits $2, 4, 6, 7$ and $9$ only once to form a three-digit integer and a two-digit integer which will be multiplied together. What is the three-digit integer that results in the greatest product
Question
Question
Use each of the five digits $2, 4, 6, 7$ and $9$ only once to form a three-digit integer and a two-digit integer which will be multiplied together. What is the three-digit integer that results in the greatest product
Answer:
The 3 digit number 642 when multiplied 97 gives the greater product.
Step-by-step explanation:
The greatest product will result by multiplying the smaller 3 digit number with the greater two digit number.
The greater three digit number will be 976 and smaller 2 digit number would be 42
Multiplying
976*42 = 40992 ( descending order number)
679 *24= 16,296 ( ascending order number)
If we take the 2 digit number as 97 and 3digit number 642
Then multiplying
642* 97= 62,274 ( descending order number)
246 * 79=19434 ( ascending order number)
The 3 digit number 642 when multiplied 97 gives the greater product.