Question

mothers is 25 year old 10 year son find son's age after 8 years ratio of son's age to mother's age will be 4/9.

Answer 1

Answer:

here you go

pls dont be reluctant to clear your doubts

Answer 2

Some correction in your question. Below is the correct question :-

Mother is 25 year older than her son. Find son's age if after 8 years ratio of son's age to mother will be $\dfrac{4}{9}$


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$\huge \mathfrak {Solution}$ :-



Let the son's present age be x years.

Let the present age of the mother is x + 25 years

8 years later,

Age of son will be x + 8

Age of mother will be x + 25 + 8 = x + 33


According to the given condition,

$\dfrac{x + 8}{x + 33} = \dfrac{4}{9}$

➾ 9(x + 8) = 4(x + 33)

➾ 9x + 72 = 4x + 132

➾ 9x - 4x = 132 - 72

➾ 5x = 60

➾ x = $\dfrac{60}{5}$

➾ x = 12




♦ Present age of son ➾ x years

➾ $\boxed{12 \: years}$


♦ Present age of mother ➾ x + 25

➾ 12 + 25

➾ $\boxed{37}$


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Hope my answer helps you ✌☺