user15594: It’s White to play and checkmate in two moves.
This puzzle was created by Frank Healey, and published in 5 Family Herald on 7/17/1858.
7R/1B1N4/8/3r4/1K2k3/8/5Q2/8 w - - 0 1


user15617: 
Black is not in check, but still only has one move:

Check mate.


user8300: Use the fact that the rook is pinned, and that the king has few squares left;
I'm thinking that 1.Rd8 Kd3 (only possible move) 2.Nc5# should be the solution. 
[White "NN"]
[Black "NN"]
[FEN "7R/1B1N4/8/3r4/1K2k3/8/5Q2/8 w - - 0 1"]

1.Rd8 Kd3 2.Nc5#  


15594: <p>It’s White to play and checkmate in two moves.</p>

<p>This puzzle was created by Frank Healey, and published in 5 Family Herald on 7/17/1858.</p>

<pre><code>7R/1B1N4/8/3r4/1K2k3/8/5Q2/8 w - - 0 1
</code></pre>
 15617: <p><a href="https://i.stack.imgur.com/ybDFn.jpg" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/ybDFn.jpg" alt=""></a></p>

<p>Black is not in check, but still only has one move:</p>

<p><a href="https://i.stack.imgur.com/0z2uF.jpg" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/0z2uF.jpg" alt=""></a></p>

<p>Check mate.</p>

<p><a href="https://i.stack.imgur.com/CI7O4.jpg" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/CI7O4.jpg" alt=""></a></p>
 8300: <p>Use the fact that the rook is pinned, and that the king has few squares left;
I'm thinking that 1.Rd8 Kd3 (only possible move) 2.Nc5# should be the solution. </p>

<pre><code>[White "NN"]
[Black "NN"]
[FEN "7R/1B1N4/8/3r4/1K2k3/8/5Q2/8 w - - 0 1"]

1.Rd8 Kd3 2.Nc5#  
</code></pre>
