Answer :
Answer:
The integers are: -11 -9, -7
Step-by-step explanation:
odd integers are spaced 2 units apart each, so if we let the smallest be "x", the next one would be "x + 2", and the next one "x + 4".
These are our 3 consecutive integers:
x
x + 2
x + 4
Given,
Difference between 4 times LARGEST and TWICE MIDDLE is -10, so we can write:
4(x+4) - 2(x+2) = -10
Now, we solve for x using algebra:
[tex]4(x+4) - 2(x+2) = -10\\4x+16-2x-4=-10\\2x+12=-10\\2x=-10-12\\2x=-22\\x=-11[/tex]
So, the smallest is -11, others will be -9 and -7
The integers are: -11 -9, -7