Question

7) Bina's mother is 4 times as old as Bina. After 5 years her mother will be 3
times as old as she will be then. Find their present ages​

Answer 1

Required Answer:-

Given:

• Bina's mother is 4 times as old as Bina.
• After 5 years, her mother will be 3 times as old as she will be then.

To find:

• The present ages of Bina and her Mother.

Solution:

Let Bina's age be x years.

So, her mother's age will be = 4x.

After five years,

➡ Age of Bina = x + 5 years.

➡ Age of Bina's mother = 4x + 5 years.

After five years, Bina's mother will be 3 times old as she will be then. So, according to the given condition,

➡ 4x + 5 = 3(x + 5)

➡ 4x + 5 = 3x + 15

➡ 4x - 3x = 15 - 5

➡ x = 10 years.

Hence,

• The present age of Bina is 10 years.
• The present age of her mother is 40 years.

Answer:

• The ages of Bina and her mother are 10 years and 40 years respectively.

Answer 2

Answer:

10 and 40

Step-by-step explanation:

Let the age of Bina be x.

Her mother's age = 4x

According to the question,

4x + 5 = 3 × ( x + 5 )

4x + 5 = 3x + 15

4x - 3x = 15 - 5

x = 10

So , Bina's age = x = 10 years.

Her mother's age = 4x = 10 × 4 = 40 years.