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The difference between the present age of Arun and Deepak is 14 years. Seven years ago the ratio of their ages was 5 : 7 respectively. What is Deepak’s present age ?   
  • a)
    49 years
  • b)
    42 years
  • c)
    63 years
  • d)
    35 years
  • e)
    56 years
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
The difference between the present age of Arun and Deepak is 14 years....
Let Deepak’s present age = (7x + 7) years
Arun’s present age = (5x + 7) years
ATQ,
7x – 5x = 14
x = 7 
∴ Deepak’s present age = 49 + 7 = 56 years
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Most Upvoted Answer
The difference between the present age of Arun and Deepak is 14 years....
If the average age og A,B and C is 22 years and the average age of B and C is 25 years, Then the age of A after 9 years
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Community Answer
The difference between the present age of Arun and Deepak is 14 years....
To solve this problem, let's assume the present age of Arun is A and the present age of Deepak is D.

According to the given information, the difference between their ages is 14 years, so we can write the equation:

D - A = 14

Seven years ago, Arun's age would have been A-7 and Deepak's age would have been D-7. The ratio of their ages at that time was 5:7, so we can write the equation:

(A-7)/(D-7) = 5/7

Now we have a system of two equations with two variables:

D - A = 14

(A-7)/(D-7) = 5/7

We can solve this system of equations by substitution or elimination method to find the values of A and D. Once we have the values, we can determine Deepak's age.
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The difference between the present age of Arun and Deepak is 14 years. Seven years ago the ratio of their ages was 5 : 7 respectively. What is Deepak’s present age ? a)49 yearsb)42 yearsc)63 yearsd)35 yearse)56 yearsCorrect answer is option 'E'. Can you explain this answer?
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