Question

The present age of Sahil mother is three times the present age of Sahil after 5 years their ages will add to 66 years .Find their present age .​

Answer 1

Let's say that the :

• Present age of Sahil = z years

According to the question :

• Present age of Sahil's mother = 3 times present age of Sahil
• Present age of Sahil's mother age = 3z years

In the question, it is given that :

• After 5 years, sum of their ages = 66 years

So, the equation goes this way :

• (z + 5) + (3z + 5) = 66
• z + 3z + 5 + 5 = 66
• 4z + 10 = 66
• 4z = 66 - 10
• 4z = 56
• z = 56/4
• z = 14

Finding their ages by substituting z value :

• Sahil's age : z years = 14 years
• Sahil's mother age : 3z years = 42 years

Therefore, the present ages of Sahil and Sahil's mother are 14 and 42 years.

Answer 2

Given:

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

To Find:

• Their present ages

Solution:

• Let's assume the present age of Sahil be x years.

• Also, let's assume the present age of Sahil's mother age be 3x years.

According to the question :

Present age of Sahil's mother = 3 times present age of Sahil

Given that :

After 5 years, sum of their ages will be 66 years

Hence, the required equation will be,

$\sf \: \: \: \: \: \: \: \: \: \: \: \: (x+ 5) + (3x + 5) = 66 \\ \\ \\ \sf \implies \: \: (x + 3x) + (5 + 5) = 66 \\ \\ \\ \: \sf \implies4x + 10 = 66 \: \: \: \: \: \: \\ \\ \\ \sf \implies4x = 66 - 10 \\ \\ \\ \sf \implies4x = 56 \\ \\ \\ \sf \implies \:x = \frac{56}{4} \\ \\ \\ \sf \implies \:x = 14$

Finding their ages by substituting the x value :

$\sf \circ \: Sahil's \: age \: = \: x \: years \: = \: 14 \: years \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \circ \: Sahil's \: mother \: age \: = 3x \: years \: = \: 3 \: × \: 14 \: years \: = \: 42 \: years$

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