Question

1. Ratio of the present age of Abha and her mother is 3:8. At the time of Abha'sbirth her mother's age was 25 years. find their present age.
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Answer 1

Concept Introduction:

The difference between the age of mother and daughter remains same over years.

Given: Ratio of the present age of Abha and her mother is $3:8$ and the time of Abha's birth her mother's age was $25$ years.

To Find:

We have to find the value of, present age of Abha and her mother.

Solution:

According to the problem,

Let present age of Abha be $3x$ and Abha's mother be $8x$.

Difference between their age is $25$years.

∴$8x-3x=25$

⇒ $5x=25$

⇒$x=5$

Hence Abha's age is $3*5=15$

Abha's mother's age is $8*5=40$

Final Answer:

The value of present age of Abha and her mother's age is $15$ years and $40$ years respectively.

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