A number consist of two digits whose sum is 8. If 18 is added to the number its digits are reversed. Find the number
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Answer:
the number is 35 and it's sum is 8. If 18 is added to it then it becomes 53
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Step-by-step explanation:
Let the one number be x and another number be 8 - x.
10x + (8 - x) + 28 = 10(8 - x) + x
10x + 8 - x + 18 = 80 - 10x + x
9x + 26 = 80 - 9x
9x + 9x = 80 - 26
18x = 54
x = 3
Therefore,
- One number = x = 2
- Other number = (8 - x) = 8 - 3 = 5
Therefore, required no. is 35.
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