5. The product of two 2-digit numbers is 1665. The product of their units digits is 35
and that of tens digits is 12. Find the numbers.
Answers
Answer:
No set of numbers exists satisfying the given set of conditions.
Let's list down the observations we can make.
Simple deductions from the product of two numbers:
It's clear that the units digit of product if 5 . And this is possible if and only if
units digit of any one of the two numbers is 5 . Or
Both the numbers have 5 as their units digit.
Conditions given in question are :
product of units digits is 12 .
product of tens digits is 35.
Looking at condition #1 and observation #1, it's quiet evident that product of two digits can not be 12 , with 5 being one of them.
Since condition #1 is not satisfied, lets evaluate condition #2.
With 5 as units digit of both two numbers, the product of units digits is 25 . This contradicts condition #1.
Since condition #1 is not satisfied, there is no point in evaluating condition #2.
Hence there exists no set of such numbers satisfying both the given conditions.
Hope my explanation is simple and clear.
Answer:
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