Respuesta :

assume the larger number is [tex]x[/tex]
another number is [tex]x-1[/tex]
their sum would be [tex]x+(x-1)[/tex] which equals 25
[tex]x+(x-1)=25[/tex]
[tex]2x=26[/tex]
[tex]x=13[/tex]
ans:13

First, we can represent the numbers as n and n + 1 = 25

n + n + 1 = 25

Next, we can combine like terms.

2n + 1 = 25

Subtract 2 from both sides.

2n = 24

2n ÷ 2 = n

24 ÷ 2 = 12

If we know that 12 is n, n + 1 would be equal to 12 + 1 so the largest consecutive number is 13.