Question

The present age of Rupak's mother is three times the present age of Rupak . After 5 years their ages will add up to 58 years. Find the present age of Rupak.​

Answer 1

Answer:

The present age of Rupak is 12 years

Step-by-step explanation:

Let,

The present age of Rupak = x

The present age of Rupak's mother = 3x

★ After 5 years,

The present age of Rupak = x + 5

The age of Rupak's mother = 3x + 5

Also,

Sum of their ages will be 58 years

So,

⇒ (x + 5) + (3x + 5) = 58

⇒ x + 5 + 3x + 5 = 58

⇒ 4x + 10 = 58

⇒ 4x = 58 - 10

⇒ 4x = 48

⇒ x = 48 / 4

⇒ x = 12

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★ Value of 3x :

⇒ 3 (12)

⇒ 3 × 12

⇒ 36

Therefore,

The present age of Rupak is 12 years

The present age of Rupak's mother 36 years

Answer 2

Given :

• It's given that the present age of Rupak's mother is three times the age of Rupak.
• After five years, both of their ages will add up to 58 years.

To Find :

• Both of their present ages.

Let us take Rupak's age as x.

Rupak's mother is 3 times his age, hence her mother's age will be 3x.

After five years,

Rupak's age would be x + 5

And his mother's age would be 3x + 5

Now, According to the Question,

$\implies \sf{(x + 5) + (3x + 5) = 58}$

Solving this further,

$\longrightarrow{ \sf{4x + 10 = 58}}$

$\longrightarrow{ \sf{4x = 58 - 10}}$

$\longrightarrow{ \sf{4x = 48}}$

$\longrightarrow{ \sf{x = \frac{48}{4} }}$

$\longrightarrow{ \boxed{\sf{ \red{x = 12}}}}$

We have taken Rupak's age as x, So now that we found the value of x, Rupak's age is 12.

We have taken his mother's age as 3x,

Substituting the value of x, we get Rupak's mother's age as 36.

Hence, the present age of Rupak is 12, and the present age of his mother is 36.

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