The sum of two digits of a number is 15. if 9 is added to the number, the digit is reversed. The numbers are?Options7782878578
Question
The sum of two digits of a number is 15.
If 9 is added to the number, the digit is reversed.
The numbers are? Options: 778, 287, 857, 8
Solution
The problem states that the sum of two digits of a number is 15 and if 9 is added to the number, the digits are reversed.
Let's denote the tens digit as 'a' and the units digit as 'b'. So, the number is 10a + b.
From the problem, we know that:
- a + b = 15
- 10a + b + 9 = 10b + a
Solving these two equations, we get:
a = 7 and b = 8
So, the number is 78.
Therefore, the correct option is 78.
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