Let assume two consecutive odd numbers 2x+1 and 2x+3 It is given their sum is 52. So we can write equation as [tex]2x+1 + 2x+3 = 52[/tex] [tex]4x+4 = 52[/tex]
On subtraction 4 on both sides of equation
[tex]4x+4 - 4 = 52-4[/tex] [tex]4x = 48[/tex] [tex] \frac{4x}{4} = \frac{48}{4} [/tex] x = 12 So the numbers are first number is = [tex]2*12 + 1 = 25[/tex] Second number is = [tex]2*12 + 3 = 27[/tex]
