Question

The sum of the age
of a son an
and his father is 35 years and
the product is iso, their
is 150, their agers are:​

Answer 1

Answer:

30 years,5 years

Step-by-step explanation:

30×5=150

30+5=35

Answer 2

ANSWER:

Given:

• Sum of age of son and father = 35 years.
• Product of their ages is 150

To Find:

• Their ages

Solution:

Let the age of son be x years.

So,

⇒ Father's age = (35 - x) years

We are also given that,

⇒ Product of ages of son and father = 150.

So,

⇒ x × (35 - x) = 150

⇒ 35x - x² = 150

So,

⇒ x² - 35x + 150 = 0

Splitting the middle terms,

⇒ x² - 30x - 5x + 150 = 0

⇒ x(x - 30) - 5(x - 30) = 0

⇒ (x - 5)(x - 30) = 0

Hence,

⇒ x = 5 or 30

So, son's age = 5years or 30years.

And, father's age = 35 - x = 35 - 5 or 35 - 30

Hence,

⇒ Father's age = 30years or 5 years

As, age of son is always less than that of father.

Therefore, age of son is 5years and that of father is 30years.