Question

The difference between the square of two consecutive numbers is $31$. Find the numbers.

Answer 1

Let the numbers be $x$ and $x+1$

$(x+1{)}^2-x^2=31$

$x^2+2x+1-x^2=31$

$2x+1=31$

$2x=30$

$x=15$

$\therefore$ Numbers will be $15$ and $16$.