Question

Question
Racky mother is 4 times as old as racky after 5yrs her mom will be 3 times as old as old she will be then. Find their present age​

Answer 1

Question :

• Racky's mother is 4 times as old as Racky. After 5 years her mom will be 3 times as old as she will be then. Find their present ages.

Solution :

Let the ages of Racky and his mother be x and 4x years.

After 5 years their ages will be :

• x + 5
• 4x + 5

According to the condition :

⇒ 3(Racky's age) = Racky's mom's age

• 3(x + 5) = 4x + 5
• 3x + 15 = 4x + 5
• 3x - 4x = 5 - 15
• -x = -10
• x = 10

Present ages are :

• x = 10 years
• 4x = 40 years

∴,

The present ages of Racky and her mother is 10 and 40 years respectively.

...ッ

Answer 2

Given: 

• Racky's Mother is four times as old as Racky. After five years, her mom will be three times as old as she will be then.

To find:

• Their present ages

⠀⠀⠀⠀⠀

Solution:

» Let's say, that the present age of Racky be x years. Then, her mother's age would be 4x years.

• After five years, her mom will be three times as old as she will be then. Therefore,

» After five years, their ages:

• Racky's age = (x + 5)
• Mother's age = (4x + 5)

$\begin{gathered} : \implies \sf{ Mother's \: age = 3(Racky's \: age)} \\ : \implies \sf(4x + 5) = 3(x + 5) \\ \sf : \implies{4x + 5 = 3x + 15 } \\ : \implies\sf{4x - 3x = 15 - 5} \\ : \implies   \underline{\boxed{ \frak{x = 10}}} \pink \bigstar\end{gathered}$

Therefore,

• Present age of Racky, x = 10 years
• Present age of Racky's Mother, 4(x) = 4(10) = 40 years.

⠀⠀⠀

∴ Hence, the present age of Racky and Her mother is 10 years & 40 years respectively.

Thank you!

@itzshivani