A number consists of two digits whose sum of the digits is 8. If 18 is added to the number, the digits interchange their places. Find the original number and the new number.
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Answers
Answered by
296
Answer:
30
Step-by-step explanation:
Given :-
Sum of 2-digit number = 8
If 18 is added to the number, the digits change their places.
To Find :-
The Number
Solution :-
Let one of the number be x
And the other number be 8 - x
According to the question
⇒ 10x + (8 - x) + 18 = 10(8 - x) + x
⇒ 10x + 8 - x + 18 = 80 -10x + x
⇒ 9x + 26 = 80 - 9x
⇒ 9x + 9x = 80 - 26
⇒ 18x = 54
⇒ x = 54/18
⇒ x = 3
One Number = x = 3
Other number = 8 - x = 8 - 3 = 5
Hence, the number is 35.
Answered by
13
Answer:
original no.=35
new no =53
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