sum of the digits of a two digit number is 12. If the digits are same what are the numbers
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Step-by-step explanation:
Let the digit at the tens place be x and the digit at the unit place be y.
x+y=12 (1)
Required Number = (10 x+y).
Number obtained on reversing the digits = (10 y+x).
According to the condition, we get
(10 y+x)−(10 x+y)=18
→ 9 y−9 x=18
→ y−x=2 (2)
Adding (1) and (2), we get
2 y=14 →y=7
→ x= 12 - 7 = 5
Hence, the required number is 57.
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