Question
Download Solution PDFAshish is younger than Parul by 10 years. If the ratio of their ages is 3:5, what are their ages?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFLet the present age of Ashish be A years and that of Parul be P years.
According to the given statement, Ashish is younger than Parul by 10 years.
⇒ P = A + 10 ----(i)
It is also given that the ratio of their ages is 3:5.
⇒ =
Using equation (i), we substitute P:
⇒ =
Cross-multiplying to solve for A:
⇒ 5A = 3(A + 10)
⇒ 5A = 3A + 30
⇒ 5A - 3A = 30
⇒ 2A = 30
⇒ A = 15
Now substituting the value of A back into equation (i):
⇒ P = 15 + 10
⇒ P = 25
Hence, the present age of Ashish is 15 years and Parul is 25 years.
Therefore, the correct answer is option 2: 25, 15
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