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The sum of the digits of a two-digit number is 8. If the digits are reversed, the number is decreased by 54. Find the number.
- a)42
- b)53
- c)17
- d)71
- e)None
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
The sum of the digits of a two-digit number is 8. If the digits are re...
Problem Solving:
Let us assume that the tens and units digits of the number are x and y respectively. Therefore, the number can be expressed as 10x + y. According to the given information,
x + y = 8 ... (1)
10y + x = 10x + y – 54
=> 9y – 9x = –54
=> y – x = –6
=> x – y = 6 … (2)
Adding equations (1) and (2), we get
2x = 2
=> x = 1
Substituting x = 1 in equation (1), we get
y = 7
Therefore, the required two-digit number is 10x + y = 10(1) + 7 = 17.
Answer: Option (c) 17.
Let us assume that the tens and units digits of the number are x and y respectively. Therefore, the number can be expressed as 10x + y. According to the given information,
x + y = 8 ... (1)
10y + x = 10x + y – 54
=> 9y – 9x = –54
=> y – x = –6
=> x – y = 6 … (2)
Adding equations (1) and (2), we get
2x = 2
=> x = 1
Substituting x = 1 in equation (1), we get
y = 7
Therefore, the required two-digit number is 10x + y = 10(1) + 7 = 17.
Answer: Option (c) 17.
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Community Answer
The sum of the digits of a two-digit number is 8. If the digits are re...
Now 71 add ups to 8 and when it is reversed then it is 17 that means 71-17 is equal to 54
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The sum of the digits of a two-digit number is 8. If the digits are reversed, the number is decreased by 54. Find the number.a)42b)53c)17d)71e)NoneCorrect answer is option 'D'. Can you explain this answer?
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