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The ages of two persons differ by 16 years. 6 years ago, the elder one was 3 times as old as the younger one. What are their present ages of the elder person?
  • a)
    10
  • b)
    20
  • c)
    30
  • d)
    40
  • e)
    50
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The ages of two persons differ by 16 years. 6 years ago, the elder one...
Let present age of the elder person = x and
present age of the younger person = x − 16
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Most Upvoted Answer
The ages of two persons differ by 16 years. 6 years ago, the elder one...
The ages of two persons differ by 16 years. 6 years ago, the elder one was 3 times as old as the younger one. What are their present ages of the elder person?

Let's assume the present age of the younger person is x years. Therefore, the present age of the elder person would be x + 16 years, as their ages differ by 16 years.

Formulating the equation

According to the given information, 6 years ago, the elder person was 3 times as old as the younger person. So, let's calculate their ages 6 years ago.

Age of the younger person 6 years ago = x - 6
Age of the elder person 6 years ago = (x + 16) - 6 = x + 10

According to the given condition, the elder person was 3 times as old as the younger person 6 years ago, so we can write the equation as:

x + 10 = 3(x - 6)

Solving the equation

Let's solve the equation to find the value of x.

x + 10 = 3x - 18
10 + 18 = 3x - x
28 = 2x
x = 28/2
x = 14

Calculating the present age of the elder person

Now that we have found the present age of the younger person (x = 14), we can calculate the present age of the elder person.

Present age of the elder person = x + 16 = 14 + 16 = 30

Therefore, the present age of the elder person is 30 years. Hence, option C is the correct answer.
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The ages of two persons differ by 16 years. 6 years ago, the elder one was 3 times as old as the younger one. What are their present ages of the elder person?a)10b)20c)30d)40e)50Correct answer is option 'C'. Can you explain this answer?
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