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At Present Meena is Eight Times Her Daughter'S Age. Eight Years from Now, the Ratio of the Ages of Meena and Her Daughter Will Be 10 : 3, Respectively. What is Meena'S Present Age?

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Question

At present Meena is eight times her daughter's age. Eight years from now, the ratio of the ages of Meena and her daughter will be 10 : 3, respectively. What is Meena's present age?

Options

  • 32 yr

  • 40 yr

  • 36 yr

  • Cannot be determined

MCQ
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Solution

32 yrs
Explanation:
Let the age of daughter = x yr
∴ Age of Meena = 8x yr
According to the question,

`(8"x"+8)/("x"+8) = 10/3`

⇒ 24x + 24 = 10x + 80
⇒ 14x = 56   
⇒ x = 4
Hence, Meena's present age = 4 x 8 = 32 yr

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