Question

The difference of the square of two consecutive integers a and b (b>a) is 25. Find a and b.

Answer 1

b=13 and a=12
b^2-a^2= 169-144=25

Answer 2

let a = x
b= x+1
(x+1)^{2} -x^2 = 25
x^2 + 2x + 1 -x^2=25
2x= 24
x =12 
therefore a=12,b=13