The sum of the digits of a two-digit number
is 8. If 18 is added to the number, the digits
are reversed. Find the number. 35. (Substitution method)
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Answer:
Let digits be x and y
Number = 10x + y
Reversed Number = 10y + x
According to the question,
⇒ x + y = 8 .........(i)
⇒ 10x + y + 18 = 10y + x
⇒ 9x - 9y = -18
⇒ x - y = -2 ........(ii)
Adding Eq (i) and (ii), we get
⇒ x = 3
⇒ y = 5
Hence, the number is 35.
Step-by-step explanation:
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