The age of a man is same as his wife’s age with the digits reversed. The sum of their ages is 77 years and the man is 9 years older than his wife. How old is the man?


Answer:

43

Step by Step Explanation:
  1. Let the age of his wife be x. The age of the man, according to the question will be, x + 9.
  2. The sum of their ages is equal to x + x + 9, which is equal to 77 as per the question.
  3. From step 2 we have 2x + 9 = 77,
    Or, 2x = 68, or x = 34.
  4. The age of man will be 34 + 9 = 43.

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