HELP FOR MEDAL!!!

Today’s temperature in Barrow, Alaska, and the high temperatures for the next two days are consecutive integers whose sum is -87.

Write an equation and solve it step-by-step using transformations to find the three temperatures.

Question

HELP FOR MEDAL!!!

Today’s temperature in Barrow, Alaska, and the high temperatures for the next two days are consecutive integers whose sum is -87.

 Write an equation and solve it step-by-step using transformations to find the three temperatures.

misty1212 · Answer

HUI!!!

misty1212 · Answer

do you know what "consecutive" means in this context?

anonymous · Answer

yeah it means integers that follow each other in order like 1,2,3...

misty1212 · Answer

yeah but in this case since they add to $-87$ the they have to be negative, like 
$$-23,-22,-21$$

misty1212 · Answer

we can get it right away by experimenting to see what works
i know that is not what your math teacher wants you do to, but it will only take a second then we can come up with some stupid equation to solve
lets guess $$-28-27-26$$

misty1212 · Answer

nope not enough, how about $$-30-29-28$$?

misty1212 · Answer

whew got it on the second try !!!

misty1212 · Answer

now we can do it the math teacher way 
$$n+n+1+n+2=-87$$ solve for $n$

misty1212 · Answer

combine like terms get 
$$3n+3=-87\
3n=-90$$ etc

misty1212 · Answer

didn't really need the equation, but you still get $n=-30$ like we already knew!

anonymous · Answer

wow thank you so much @misty1212 algebra seemed really fun when you helped me lol thanks

misty1212 · Answer

$$\color\magenta\heartsuit$$

anonymous · Answer

so the threee temperatures are -87, -90, and -30 @misty1212?

misty1212 · Answer

oh no dear, the three temperatures are here $$-30-29-28$$

anonymous · Answer

oh right i forgot sorry

misty1212 · Answer

the consecutive numbers are $$-30,-29,-28$$ and when you add them you get $-87$ if my arithmetic is correct