If x and y are integers, what is the smallest possible positive value of 30x + 18y?

Guest Jan 4, 2020

#2**0 **

If x and y are POSITIVE integers and they are not EQUAL, then

30(1) + 18(2) = 66

I think Geno's answer below is best ! (as Q did not specify x and y are positive as I answered)

ElectricPavlov Jan 4, 2020

#3**+2 **

Since the value of 30x + 18y must be positive, x=0 and y=0 (which gives an answer of 0) won't fit the criterion.

Although the answer must be positive, the values of x and y don't have to be positive -- one or both could be negative.

Since 30x + 18y can be factored into 6(5x + 3y), the answer must be divisible by 6.

The smallest positive integer divisible by 6 is 6; so the smallest possible answer is 6.

You can get 6 various ways; one way is to have x = 2 and y = -3.

geno3141 Jan 4, 2020