Difference between revisions of "1955 AHSME Problems/Problem 37"
Angrybird029 (talk | contribs) (Created page with "A three-digit number has, from left to right, the digits <math>h, t</math>, and <math>u</math>, with <math>h>u</math>. When the number with the digits reversed is subtracted f...") |
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<cmath> \text{5 9 4}</cmath> | <cmath> \text{5 9 4}</cmath> | ||
Out difference is <math>594</math>. Therefore, the next two digits, from right to left, are <math>\boxed{\textbf{(B) } \text{9 and 5}}</math>. | Out difference is <math>594</math>. Therefore, the next two digits, from right to left, are <math>\boxed{\textbf{(B) } \text{9 and 5}}</math>. | ||
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==See Also== | ==See Also== | ||
Go to the rest of the [[1955 AHSME Problems]] | Go to the rest of the [[1955 AHSME Problems]] | ||
{{MAA Notice}} | {{MAA Notice}} |
Latest revision as of 15:34, 24 November 2020
A three-digit number has, from left to right, the digits , and
, with
. When the number with the digits reversed is subtracted from the original number, the units' digit in the difference is 4. The next two digits, from right to left, are:
Solution
We can set up the subtraction like this:
Since
, we need to borrow the one from the tens column. Since the result of the tens column is 0, the taken 1 would result in the tens digit being 9:
We can assign a value for
and
, since that doesn't impact the difference, so lets say that
and
.
Since
, we can subtract one from the hundred's digit:
Out difference is
. Therefore, the next two digits, from right to left, are
.
See Also
Go to the rest of the 1955 AHSME Problems
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.