x is the 1st integer
x + 1 is the 2nd integer
x + (x+1) = 51
x + x + 1 = 51
2x + 1 = 51
subtract 1 to both sides
2x + 1 - 1 =51 -1
simplify
2x = 50
divide both sides by 2
2x/2 = 50 /2
simplify
x = 25
x + 1 = 25 +1 = 26
Answer: the numbers are 25 and 26
proof: sum of two consecutive integers is 51
25 + 26 =51
