A number consists of two digits whose sum is 6. If 8 is added to the number, the digits are reversed. Find the numbers?
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Answer :
The final answer is 24.
Step-by-step explanation :
- Let one digit of the two-digit number be x.
- Let other digit of the two-digit number be (6-x).
ATQ (According To Question),
=> 10x + (6-x) + 18 = 10 (6-x) + x
=> 10x + 6-x + 18 = 60 - 10x + x
=> 9x + 24 = 60 - 9x
=> 9x + 9x = 60 - 24
=> 18x = 36
=> x = 36/18
=> x = 2
The number is,
=> 9x + 6 = 9(2) + 6
= 18 + 6
= 24
Therefore, the number is 24.
Hope it helps :)
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