You can put this solution on YOUR website! THE UNEXPECTED SOLUTION: has just 3 prime factors,
each with an exponent of in the prime factorization.
Therefore has factors,
making the pairs of factors listed below. .
Obviously is a lot less than 21 times ,
and is a lot more than 14 more than 21 times ,
so the answer must be and .
Let's check, just in case it could be a trick question: , so it works.
THE EXPECTED SOLUTION: = the fist (smaller) number (positive integer) they are talking about = the other number = 14 more than 21 times the first number = the product of the two numbers
We need to solve the quadratic equation <-->
It can be simplified by dividing both sides of the equal sign by ; <--><--><-->
Solving by factoring:
We look for factors of that add up to . and add up to , so we re-write the equation as and factor by parts -->-->-->--> .
Since was a positive integer, is not a solution to the problem. and are the two integers.
