Weird math problem

<p>Here's the problem:</p>

<p>If 4(Triangle)/6(Triangle) + 5/17 = 1, what digit does Triangle represent?</p>

<p>The book says its 8,here's the explanation:</p>

<p>If 4(Triangle)/6(Triangle) + 5/17 = 1, then 4(Triangle)/6(Triangle) = 12/17
since 12/17 + 5/17 = 1.</p>

<p>Since 4(Triangle)/6(Triangle) = 12/17, 4(Triangle) must be a multiple of 12.Hence, 4(Triangle) = 48, so Triangle = 8.</p>

<p>I tried plugging 8 into the triangles but, it doesn't equal 1.</p>

<p>The question is flawed. There cannot be a solution because the triangles would cancel each other out no matter what. It would always be 4/6. 4/6 = 2/3. 2/3 + 5/17 = 49/51. 49/51 =/= 1.</p>

<p>The triangle is a digit, not a multiplicand:</p>

<p>(4 tens plus 8 ones) divided by (6 tens plus 8 ones) = 12/17</p>

<p>that is, 48/68 = 12/17</p>

<p>Oops >_> that wasn't very clear</p>

<p>Oh thanks, i didn't know it was a digit either o.o, i guess i didn't read carefully enough :/</p>