Question

the present age of adithya's mother is 4 times that of adithya .adithya's ten year from now will be half of his mother's present age.what are their present ages​

Answer 1

Answer:

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Answer 2

ANSWER

The present age of Adithya is 10 years and that of her mother's age is 40 years

GIVEN

• The present age of Adithya's mother is 4 times that of Aditya's age
• 10 years from now Adithya's age will be half of his mother's present age

SOLUTION

Let us consider the present age of Adithya be x years

Since , the present age of Adithya's mother is 4 times of Aditya so,

his mother's present age is 4x

According to question

$\rm{x + 10 = \dfrac{1}{2} \times 4x} \\ \\ \implies \rm x + 10 = 2x \\ \\ \rm \implies 2x - x = 10 \\ \\ \implies \rm x = 10$

Thus, present age of Adithya is 10years

And his mother's age is

➜ 4× 10 years

➜ 40 years