Explanation:
So we know the sum of three integers is 12
x+y+z=12
Next we know that the sum of the first and second integer is more than the third by 32
x+y=z+32
Finnaly, we can see that the third is 15 less than the first.
x-15=z
Now time to put it all together.
x+(x-15+32-x)+(x-15)=12
2x-15-15+32=12
2x-30+32=12
2x+2=12
2x=14
x=7
Now time to plug it all in
7 also known as x minus 15 = z
7-15=-8
z=-8
Next we can plug it in the first equation.
7+y-8=12
-1+y=12
y=11
Now time to check if I am correct(spoiler, if it's posted it means I am correct :D)
x=7,y=11,z=-8
7+11-8=12
Yay there is ur answer.
Answer: First Integer Is 7, 2nd is 11, third is -8
P.S. Sorry if it is correct, my first answer.