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Adam is 2 years older than Mike. The square of Adam’s age is 28 greater than the square of Mike’s age in years. What is the sum of Adam’s age and Mike’s age?
  • a)
    8
  • b)
    12
  • c)
    14
  • d)
    18
  • e)
    22
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Adam is 2 years older than Mike. The square of Adam’s age is 28 ...
Let suppose that Adam's age is 'A', and Mike's age is 'M'. From the statement of the questions, we deduce following two equations.
A = 2+M and also A2= M2+28 -> A2 - M2 = 28 -> (A+M)(A-M)=28 and then putting
A-M=2, we get (A+M) = 14. Therefore, the sum of Adam's age and Mike's age is 14.
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Most Upvoted Answer
Adam is 2 years older than Mike. The square of Adam’s age is 28 ...
's age is 144. How old is Mike?
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Adam is 2 years older than Mike. The square of Adam’s age is 28 greater than the square of Mike’s age in years. What is the sum of Adam’s age and Mike’s age?a)8b)12c)14d)18e)22Correct answer is option 'C'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Adam is 2 years older than Mike. The square of Adam’s age is 28 greater than the square of Mike’s age in years. What is the sum of Adam’s age and Mike’s age?a)8b)12c)14d)18e)22Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Adam is 2 years older than Mike. The square of Adam’s age is 28 greater than the square of Mike’s age in years. What is the sum of Adam’s age and Mike’s age?a)8b)12c)14d)18e)22Correct answer is option 'C'. Can you explain this answer?.
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