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In the addition problem above, each of the symbols

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In the addition problem above, each of the symbols [#permalink] New post   07 Dec 2023, 01:18
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\(\blacksquare\)
\(+ \triangle\)
-----------------
\(14\)

In the addition problem above, each of the symbols \(\blacksquare\), \( \triangle\), and \(\forall\) represents a positive digit. If \(\blacksquare\) < \( \triangle\), and \( \triangle\) is an odd number, what is the value of \( \triangle\)?


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Re: In the addition problem above, each of the symbols [#permalink] New post   10 Dec 2023, 19:47
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Sum of two numbers \(\blacksquare\) and \(\triangle\) is 14, which is an even number

=> Either both \(\blacksquare\) and \(\triangle\) are odd or both are even

\( \triangle\) is an odd number => \(\blacksquare\) is also an odd number

=> Possible cases for single digit numbers are 5 + 9, 7 + 7, 9 + 5

\(\blacksquare\) < \( \triangle\)
=> \(\blacksquare\) = 5 and \( \triangle\) = 9

So, Answer will be 9
Hope it helps!
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Re: In the addition problem above, each of the symbols [#permalink] New post   17 Dec 2023, 04:35
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BrushMyQuant why can't triangle be 11 and square be 3. fulfils all the conditions as well?
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Re: In the addition problem above, each of the symbols [#permalink] New post   17 Dec 2023, 04:39
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stacyferns: Because the figures are digits, so they can be only from 0 to 9.
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Re: In the addition problem above, each of the symbols [#permalink]
17 Dec 2023, 04:39
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