A two-digit number whose sum of digits is 8.If the number is raised by 18, then its digits are reversed. What is the number?

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answer is B.

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Detailed Solution

Given, a two-digit number whose sum of digits is 8. If the number is raised by 18, then its digits are reversed.
Let the number be xy.

xy = 10 \times x + y

According to the question,

xy + 18 = yx

10 x + y + 18 = 10 y + x

9 x - 9 y = - 18

x - y = - 2

………(1)
Sum is 8.

x + y = 8

……….(2)
Add (1) and (2).

x - y + x + y = - 2 + 8

2x = 6
x = 3
y = 8 - x
= 8 - 3
= 5
So the number xy is 35.
Hence option 1 is correct.

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