Question

The present age of Ram's mother is three times the present age of Ram . After 5 years their ages will add to 66 years . Find their present ages.
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Answer 1

Answer:

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Question :-

• The present age of Ram's mother is three times the present age of Ram . After 5 years their ages will add to 66 years . Find their present ages.

Given :-

• The present age of Ram's mother is three times the present age of Ram . After 5 years their ages will add to 66 years .

Find Out :-

• Find their present ages.

Solution :-

Let Raman's age =x

Raman's mother's age =3x

after 5 years, their ages are x+5 and 3x+5

=> x + 5 + 3x + 5 = 66

=> 4x + 10 = 66

=> 4x = 66 - 10

=> 4x=56

=> x=56/4

=> x=14

Therefore,

Raman's age = x = 14

Raman's mother's age = 3x = 3 × 14 = 42

Answer 2

Given:

• The present age of Ram's mother is three times the present age of Ram.
• after 5 years their ages will add to 66 years.

To Find:

• Their present ages

Solution:

Let.

• the present age of Ram be x years.
• the present age of Ram's mother age be 3x years.

According to the question :

Present age of Ram's mother = 3 times present age of Ram.

$\sf : \implies (x+ 5) + (3x + 5) = 66$

$\sf: \implies (x + 3x) + (5 + 5) = 66$

$\sf :\implies \: 4x + 10 = 66$

$\sf :\implies \: 4x = 66 - 10$

$\sf :\implies \:x = \frac{56}{4}$

$\sf{ \red{ :\implies \:x = 14 }}$

Finding their ages by substituting the x value :

• Ram's age = x years = 14 years

• Ram's mother age = 3x years = 3 × 14 years = 42 years

Therefore, The present ages of Ram and Ram's mother are 14 years and 42 years.