Age of Shobha's mother is 4 times that of Shobha. 5 years hence, her mother's age will be three times that of Shobha. find the present age of Shobha's mother.
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Answer:
Shobha's age = 10 years and her mother's age = 40 years.
Explanation:
Given that,
Shobha's mother is 4 times Shobha's age.
If we assume shobha's age as x years.
Then, Shobha's mother's age will be 4x years.
Now, 5 years later age of,
- Shobha = (x + 5) years
- Her mother = (4x + 5) years.
According to the question,
Shobha's mother is now 3 times Shobha's age.
⇒ (4x + 5) = 3(x + 5)
⇒ 4x + 5 = 3x + 15
⇒ 4x - 3x = 15 - 5
⇒ x = 10
Hence, Shobha's age is 10 years.
And also, her mother's age is 4x = 40 years.
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