# Mathematics

A number of two digits is increased by 9. When the digits are reversed, the sum of the digits is 5. Find the number.

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3. 👁 321

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2. let's work backwards,
by looking at the number after it was reversed.
Since the sum of the digits is 5
it could only be
14, 41, 23, or 32
but that result is caused by having added a 9
so the original number could only be:

9 , not a two digit number, so NO
32
14
23

So the number could have been 32, 14, or 23

check:
32+9 = 41, sum of digits is 5
14+9 = 23, sum of digits is 5
23+9 = 32, sum of digits is 5

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