the ratio of two numbers is 3:7. the product of these 2 numbers is 189. what is the smaller of these numbers?

Guest Sep 12, 2020

#1

#2**+2 **

More elaborate solution:

Let the two numbers be x and y, where x is smaller.

By the first sentence, 7x=3y --> x=3/7y.

We also know that xy=189 --> (3/7y)(y)=189 --> 3/7y^2=189 --> y^2=441 --> y=21,-21.

When y=21, we have 7x=3*21 --> x=9

When y=-21, we have 7x=3*-21 --> x=-9

So our solutions are **(x,y)=(21,9) and (-21,-9)**

The smallest possible number is then __-9__

thedudemanguyperson Sep 13, 2020