Question

The present age of Vinay's mother is
three times the present age of Vinay.
After 5 years, the sum of their ages
will be 70 years. Find their present
ages.​

Answer 1

Answer:-

Let the present age of Vinay be x years.

Given:

Age of Vinay's mother is thrice his age.

→ Age of Vinay's mother = 3 * x = 3x years.

Also given that,

Sum of their ages after 5 years = 70 years.

• Age of Vinay after 5 years = (x + 5) years

• Age of Vinay's mother after 5 years = (3x + 5) years.

According to the above condition,

→ x + 5 + 3x + 5 = 70

→ 4x = 70 - 5 - 5

→ 4x = 60

→ x = 60/4

→ x = 15

Therefore,

• Present age of Vinay = x = 15 years.

• Present age of his mother = 3x = 3(15) = 45 years.

Answer 2

Step-by-step explanation:

Assume that the present age of Vinay be x years.

The present age of Vinay's mother is three times the present age of Vinay.

Therefore, the present age of Vinay's mother is 3x years.

After 5 years, the sum of their ages will be 70 years.

After 5 years:

• Age of Vinay = (x + 5) years
• Age of Vinay's mother = (3x + 5) years

As per given condition,

→ x + 5 + 3x + 5 = 70

→ 4x + 10 = 70

→ 4x = 60

→ x = 15

Hence, the present age of:

• Vinay = x = 15 years
• Vinay's mother = 3x = 3(15) = 45 years