Question

The difference if the ages of sunny and his father is 30 years. The difference of the squares of their ages is 1560.find the ages

Answer 1

hope this answer helps

Answer 2

Answer:

The son is 11 years old and 41 years old.

Step-by-step explanation:

Given :

Difference between their ages = 30 years

Difference between the squares of their ages = 1560

To find :

Their ages

Solution :

Let their ages be -

• Son's age = y
• Father's age = (y + 30)

The age squares -

• Son's age = (y)²
• Father's age = (y + 30)²

According to the question,

The difference between the squares of their ages is 1560

⇒ (y + 30)² - y² = 1560

⇒ y² + 60y + 900 - y² = 1560

⇒ 60y + 900 = 1560

⇒ 60y = 660

⇒ y = 11

Son's age = 11 years

$\rule{300}{1.5}$

★ Father's age :

⇒ y + 30

⇒ 11 + 30

⇒ 41

Father's age = 41 years

The son is 11 years old and 41 years old.