The sum of three consecutive numbers is 51. Find the largest number. Also write the equation to solve the problem

Answer 1

consecutive numbers means one right after the other so if your first number is x, your second number is (x+1), and your third number is (x+2).
the equation will be set up like
x+(x+1)+(x+2)=51
which then looks like x+x+1+x+2=51
then you combine like terms
3x+3=51
have x on one side of the equals sign and the rest on the other
3x=51-3
and solve for x
x=(51-3)/3 >>> 48/3 >>> 16 is x but that's only the first number
so to find the largest number its (x+2)
which equals (16+2)= 18