Question

The sum of three consecutive integers is 105. What is the smallest integer.

Answer 1

Answer:

34

Step-by-step explanation:

we consider x,y,z the 3 consécutive numbers and their sum is 105

that means x+y+z= 105 also because x,y, z are consécutive whole numbers that means

y=x+1

z=y+1=x+2

and their sum is

x+(x+1)+(x+2)=105

x+x+1+x+2=105 that means 3x=105–2–1 that means 3x=102 that means x=102÷3 that means x=34

y=35

z=36

now verify 34+35+36= 105