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Data Sufficiency (DS) | Re: If m and n are positive two-digit integers, what is the value of the

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Bunuel wrote:

If m and n are positive two-digit integers, what is the value of the tens digit of m minus the tens digit of n ?

(1) m - n = 42.
(2) The units digit of m minus the units digit of n is not a multiple of3.













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OfficialSolution:


If\(m\) and\(n\) are positive two-digit integers, what is the value of the tens digit of\(m\) minus the tens digit of\(n\) ?

Let\(m\) be\(ab\) , where\(a\) is the tens digit and\(b\) is the units digit, and\(n\) be\(cd\) , where\(c\) is the tens digit and\(d\) is the units digit. The question asks to find the value of\( a -c\) .

(1)\( m - n =42\) .

ab

-cd

42

If there is no borrowed 10 from the tens digit of\(m\) , so if for example, we have:

54

-12

42

Then,\( a -c=4\) .

But if there IS borrowed 10 from the tens digit of\(m\) , so if for example, we have:

61

-19

42

Then,\( a -c=5\) .

Not sufficient.

(2) The units digit of\(m\) minus the units digit of\(n\) is not a multiple of 3.

This one is clearly insufficient.

(1)+(2) Examples, we considered for the first statement([m]
...

Statistics : Posted by Bunuel • on 06 Sep 2022, 05:20 • Replies 3 • Views 715



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