Question 175154
Let x be the first number

So x+1 is the second number and x+2 is the third number

From the statement of the problem

x+(x+1)=24+(x+2)

Collect like terms on the same side of the equation.

2x+1-x=24+2

x+1=26

Solve for x

x=25

Check the result

25+26 = 51
24+(25+2)= 24+27=51 (OK)

I hope that this helps.