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Exam Pattern Mix Question 28 – answer, explanation & discussion

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Question 28 Back to Exercise

A two-digit number is 3 more than 4 times the sum of its digits. If 18 is added to the number, its digits are reversed. What is the number?

  • A 53
  • B 47
  • C 24
  • D 35 Correct
Correct Answer: Option D

10a + b = 4(a + b) + 3 → 6a − 3b = 3 → b = 2a − 1

Adding 18 reverses: b − a = 2

2a − 1 − a = 2 → a = 3, b = 5

Number = 35

Answer: 35

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