Question

Need steps with the answer and fast as possible. i will grant you 50 points literally Meena's mother is four times as old as meena. after 5 years,her mother will be three times as old as she will be then. whats their present ages

Answer 1

$\bold{\huge{\underline{ Solution }}}$

Given :-

• Meena mother is 4 times as old as Meena
• After 5 years, Her mother will be 3 times as old as she will be then.

To Find :-

• We have to find the present ages of Meena and her mother.

Let's Begin :-

Let the present age of Meena be ' x ' years.

• Now, It is given in the question that her mother is 4 times as old as Meena

That means,

Present age of her mother

$\sf{ = 4x \: years }$

Now,

After 5 years

The age of the Meena will be

$\sf{ = x + 5 \: years }$

Therefore,

According to given condition,

The age of her mother will be

= $\sf{ = 4x + 5 \: years ...eq(1)}$

But, It is given that,

• After 5 years, Her mother will be 3 times as old as Meena.

That is,

After 5 years, Her mother age will be

$\sf{ = 3(x + 5) \: years ...eq(2)}$

From eq(1) and (2) :-

$\sf{ 4x + 5 = 3(x + 5) }$

$\sf{ 4x + 5 = 3x + 15}$

$\sf{ 4x - 3x = 15 - 5 }$

$\sf{ x = 10 \: years }$

Thus, The present age of the Meena will be 10 years.

Therefore,

The present age of her mother will be

$\sf{ 4x = 4 × 10 }$

$\sf{ = 40 \: years }$

Hence, The present of Meena and her mother is 10 years and 40 years.