Question

Find the equation of straight line which is parallel to $2x+3y+11=0$ and sum of its intercepts on the axes is 15.

Answer 1

We know that, if any set has m elements, then the number of subsets is $2^n$
According to given condition,
$2^m=112+2^n\Rightarrow 2^m-2^n=112=16\times 7\Rightarrow 2^m-2^n=2^7-2^4$
On comparing both sides, we get
$2^m=2^7\text{and}{2}^n=2^4\therefore m=7andn=4$