The present ages of Parul and Sonia are in the ratio 5:7. If Parul was 9 years
older and Sonia 9 years younger, the age of Parul would have been twice the age of
Sonia. Find their ages.
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Answer:
Parul = 15 years and Sonia = 21 years
Step-by-step explanation:
Assume that the present age of Parul is 5a and of Sonia is 7a.
Said in question that if Parul was 9 years older and Sonia 9 years younger, the age of Parul would have been twice the age of Sonia.
→ (5a + 9) = 2(7a - 9)
→ 5a + 9 = 14a - 18
→ 18 + 9 = 14a - 5a
→ 27 = 9a
→ a = 3
Hence, the age of Parul is 5(3) = 15 years and of Sonia is 7(3) = 21 years.
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