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The ratio of the ages of priya and riya is 2:5. After 8 years, their ages will be in the ratio of 2:3. Then the sum of their present ages
  • a)
    12 years
  • b)
    14 years
  • c)
    16 years
  • d)
    18 years
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The ratio of the ages of priya and riya is 2:5. After 8 years, their a...
Let priya age  = 2x and riya age = 5x.
So, (2x + 8)/(5x + 8) = 2/3, we get x = 2. So sum of priya and riya = 14
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Most Upvoted Answer
The ratio of the ages of priya and riya is 2:5. After 8 years, their a...
Given: Ratio of Priya's age to Riya's age = 2:5
Let Priya's age be 2x and Riya's age be 5x

After 8 years, the ratio of their ages will be 2:3
(2x+8)/(5x+8) = 2/3
6x+24 = 10x+16
4x = 8
x = 2

Therefore, Priya's present age = 2x = 4x2 = 8 years
Riya's present age = 5x = 5x2 = 10 years

Sum of their present ages = 8+10 = 18 years

Hence, option (B) 18 years is the correct answer.
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Community Answer
The ratio of the ages of priya and riya is 2:5. After 8 years, their a...
Let priya age  = 2x and riya age = 5x.
So, (2x + 8)/(5x + 8) = 2/3, we get x = 2. So sum of priya and riya = 14
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The ratio of the ages of priya and riya is 2:5. After 8 years, their ages will be in the ratio of 2:3. Then the sum of their present agesa)12 yearsb)14 yearsc)16 yearsd)18 yearse)None of theseCorrect answer is option 'B'. Can you explain this answer?
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