Question

Ram’s mother is thrice as old as Ram. Ten years ago, the age of Ram’s mother was 7 times the age of Ram. Find their present ages.

Answer 1

Answer:

• The present age of Ram is 15 years.

• The present age of his mother = 45 years.

Step-by-step explanation:

Given :

• Ram’s mother is thrice as old as Ram.
• Ten years ago, the age of Ram’s mother was 7 times the age of Ram.

To find :

their present ages

Solution :

Let the present age of Ram be x years.

His mother is thrice as old as Ram.

So, the present of his mother = 3x years

10 years ago,

Ram's age = (x - 10) years

His mother's age = (3x - 10) years

According to the question,

3x - 10 = 7(x - 10)

3x - 10 = 7x - 70

7x - 3x = 70 - 10

4x = 60

 x = 60/4

 x = 15

The present age of Ram is 15 years.

The present age of his mother = 3(15) = 45 years.

Answer 2

Given Details :

• Ram’s mother is thrice as old as Ram.
• Ten years ago, the age of Ram’s mother was 7 times the age of Ram.

We need to find their present ages.

Solution :

Let the present age of Ram be x years.

According to the question,

Present of his mother = 3x years.

10 years before,

• Age of Ram = (x - 10) years
• Age of his Mother = (3x - 10) years

According to the question,

⇒ 3x - 10 = 7(x - 10)

⇒ 3x - 10 = 7x - 70

⇒ 7x - 3x = 70 - 10

⇒ 4x = 60

⇒ x = 15

Hence,

• The present age of Ram = x = 15 years.
• The present age of his mother = 3x = 3(15) = 45 years.