Question

the square of the greater of two consecutive even numbers exceeds the square of the smaller by 36. find the number​

Answer 1

$\begin{gathered}\huge\blue{\mid{\fbox{\tt{QUESTION}}\mid}} \\ \end{gathered}$

the square of the greater of two consecutive even numbers exceeds the square of the smaller by 36. find the number.???

$\begin{gathered}\huge\blue{\mid{\fbox{\tt{SOLUTION}}\mid}} \\ \end{gathered}$

let the numbers be x,x+1

Their squares are x2,(x+1)2

The difference is 37

⟹(x+1)2−x2=37x2+2x+1−x2=372x+1=372x=36x=18

So the numbers are 18,19