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The digits of a two-digit number add up to 11. Reversing the digits increases the number by 45. Find the number.

Competition practiceNumber System, HCF & LCM
  • A38
  • B83
  • C29
  • D47

Step-by-Step Solution

With digits a (tens) and b (units): a + b = 11 and 9(b − a) = 45, so b − a = 5. Then b = 8, a = 3: the number is 38 (83 − 38 = 45).
Answer: A) 38

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