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The ratio of Arun and Varun age is 11:9. After 5 years the difference between their age is 2. Then Arun is how many years elder than Varun?
  • a)
    1 Year
  • b)
    2 Years
  • c)
    3 years
  • d)
    4 Years
  • e)
    Cannot be determined
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The ratio of Arun and Varun age is 11:9. After 5 years the difference ...
A/V = 11/9
11x-9x =2
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Most Upvoted Answer
The ratio of Arun and Varun age is 11:9. After 5 years the difference ...
Let present age of ARUN & VARUN be 11x and 9x respectively.
5 year later,
ARUN's age = 11x + 5
VARUN's age = 9x + 5

A/Q, (11x + 5 )- (9x + 5) = 2
11x + 5 - 9x - 5 = 2
=> x = 1
Present age of ARUN = 11
Present age of VARUN = 9

so,ARUN is two year elder than VARUN .
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Community Answer
The ratio of Arun and Varun age is 11:9. After 5 years the difference ...
Given: Ratio of Arun and Varun age is 11:9.

Let the present age of Arun and Varun be 11x and 9x respectively.

After 5 years, their age will be (11x+5) and (9x+5) respectively.

It is given that the difference between their age after 5 years is 2.

So, (11x+5) - (9x+5) = 2

Simplifying the above equation, we get

2x = 2

x = 1

Hence, present age of Arun = 11x = 11 years and present age of Varun = 9x = 9 years.

Now, Arun is how many years elder than Varun?

Arun is elder than Varun by (11-9) = 2 years.

Therefore, the correct option is (B) 2 Years.
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The ratio of Arun and Varun age is 11:9. After 5 years the difference between their age is 2. Then Arun is how many years elder than Varun?a)1 Yearb)2 Yearsc)3 yearsd)4 Yearse)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?
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