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dominic
Let’s see who can solve this one:
IMG_0259.webp
B
Beesolberg
Let our integers be (n,n+2,n+4).

We then need the condition that 2n - 3(n+4) =15.
Solving:
2n-3n-12=15
-n=27
n=-27

We can verify by 2(-27)=-54 and 3(-23)=-69 so -54-(-69)=15. So our three integers are -27,-25,-23
  • Wow
Reactions: dominic
dominic
dominic
Outstanding…
Curious choice of n, n+2, and n+4

I used n+1,3,5 and got it wrong first try cause I tried to do too much in my head… and then I got -27, -25, -23 and it didn’t look right cause negative numbers and inequalities… anyway

Great stuff!!
B
Beesolberg
The choice for n,n+2,n+4 came from the definitions of even and odd as 2n, and 2n+1 respectively.

I think the inequality can be dropped since it says "exceed 3x the greatest by 15" and didn't include an "or more" qualifier.
dominic
Welcome all to the MCFAM forum, or MCForum, or the FMA forum or [insert alternate name]
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