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QIf A is formed by reversing the digits of B and B is 45 less than A, and the sum of the digits of B is 9, what is the value of A?

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#4452Q ID
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  • A 72 ✔ ✖
  • B 81 ✔ ✖
  • C 63 ✔ ✖
  • D 54 ✔ ✖
Correct Answer: Option A

Explanation

 If the sum of the digits of B is 9, then B must be a two-digit number. The only two-digit numbers whose digits add up to 9 are 18 and 27.

If A is formed by reversing the digits of B, then A is either 81 or 72 if B is 18 or 27, respectively.

If B is 45 less than A, then A must be 72. Therefore, the value of A is 72

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