Verified answer

Answer:

13²=169 which= 84+85

19²=361 which= 180+181

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Step-by-step explanation:

In all the cases,

let one integer be x

since the integers are consecutive, other integer = x + 1

Now,

13^2

x+x+1=13^2

2x + 1 = 169

2x = 168

x = 168/2 = 84. and x + 1 = 85

So,

the consecutive integers are 84 and 85

19^2

x+x+1=19^2

2x + 1 = 361

2x = 360

x = 360/2

x = 180. and x + 1 = 181

So,

the consecutive integers are 180 and 181