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The sum of the digits of a two digit number is 15.One third of the number diminished by 12 is 17.Find the number

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Toryid
17+12=29
29×3=37
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Bellalesseid
The sum of the digits of a two digit number is 15. One third of the number diminished by 12 is 17. Find the number.

So our equation will base in our second sentence. One third of the number diminished by 12 is 17.

[tex] \frac{1}{3}x - 12 = 17 [/tex]
[tex] \frac{1}{3}x = 29 [/tex]
[tex]x = 87[/tex] 

The sum of the digits of a two digit number is 15.

8 + 7 = 15
15 = 15

So therefore, the number is 87.