Question

Rakhi's mother is four times as old as Rakhi. After 5years, her mother will be three times as she
will be then. Find their present ages. Write The Steps

Answer 1

Let the present age of Rakhi be x years

Rakhi's mother is four times Rakhi's age

So, Rakhi's mother's age = 4x

5 years later,

Age of Rakhi = x + 5

Age of Rakhi's mother = 4x + 5

After 5 years, Rakhi's mother will be three times as old as she will be then = 3(x + 5)

According to the question,

4x + 5 = 3(x + 5)

➾ 4x + 5 = 3x + 15

➾ 4x - 3x = 15 - 5

➾ x = 10

∴ Present age of Rakhi ➾ x years

➾ $\red{\boxed{\boxed{\boxed{\orange{10\:years}}}}}$

∴ Present age of Rakhi's mother ➾ 4x years

➾ 4 × 10

➾ $\red{\boxed{\boxed{\boxed{\orange{40\:years}}}}}$

Answer 2

Answer:

$\huge\boxed{\fcolorbox{red}{pink}{Your's Answer}}$

Let present age of Rakhi = x years

Present age of Mother = 4x

5 years later:

Age of Rakhi =x+5

Age of Mother =4x+5

Given :-

4x+5=3(x+5)

4x−3x=15−5

=>x=10

Rakhi's age= 10 years

Mother's age =4x=40 years

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