Question

the present age of sita mother is 5 times the present age of sita after 5 years the sum of their age is 64 years find the present age
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Answer 1

Step-by-step explanation:

1. You do plus 5 into 5 times then your answer is 20 OK
2. Then you do plus 20 + 64
3. Then you write your answer

Answer 2

Given

• The present age of Sita's mother is 5 times the present age of Sita.
• The sum of their ages after 5 years = 64 years.

To find

• Their present ages

★ Concept

• Firstly, we will let the age of Sita be x and as mentioned in the question. 'The age of Sita's mother is 5 times the present age of Sita.' So, we will let her mother's age be 5 times her age. That is, 5x.
• Then we will add 5 years in both the ages and keep it equal to sum of their ages after 5 years.
• From there we will find the value of x.
• To find their present ages we will substitute the value of x in both the ages.

Solution

Let the present age of Sita be x and her mother's age be 5x.

Their ages after 5 years :-

Sita's age = x + 5

Her mother's age = 5x + 5

According to the question,

⟶ x + 5x + x + 5 = 64

⟶ 6x + 10 = 64

⟶ 6x = 64 - 10

⟶ 6x = 54

⟶ x = 54/6

⟶ x = 9

The value of x = 9

Their present ages :-

• Sita's age = x = 9 years
• Her mother's age = 9 × 5 = 45 years

______________________________

Let's verify -

The sum of their ages after 5 years = 64 years

Substitute the value of x in x + 5 + 5x + 5 = 64

LHS -

⟶ 9 + 5 + 9 × 5 + 5

⟶ 9 + 5 + 45 + 5

⟶ 64

LHS = RHS

Hence, verified.