Question

Rudy's grandmother's age is 15 times more than Rudy's age. After 10 years.
grandmother will be 5 times as old as Rudy. Find their present ages​

Answer 1

Answer:

Step-by-step explanation:

Given,

Rudy's grandmother's age is 15 times more than Rudy's age.

After 10 years, grandmother will be 5 times as old as Rudy.

To Find,

Their present ages.

Solution,

Let us assume the present age of Rudy be x years.

And the present age of his grandmother be 15x years.

After 10 years,

Rudy's Age = (x + 10) years

Grandmother's Age = (15x + 10) years

Now, According to the Question,

⇒ 15x + 10 = 5(x + 10)

⇒ 15x + 10 = 5x + 50

⇒ 15x - 5x = 50 - 10

⇒ 10x = 40

⇒ x = 40/10

⇒ x = 4

Hence, the present age of Rudy is 4 years.

Grandmother's Age = 15x

⇒ 15 × 4 = 60 years.

Hence, the present age of Rudy's grandmother is 60 years.

Answer 2

$\huge {\underbrace {\bf {Solution}}}$

Let the present age of Rudy be x and his grandmother age be 15x

After 10 years

Rudi = (x + 10)

Grandmother = (15x + 10)

According to Question

$\sf \mapsto 5(x + 10) = (15x + 10)$

$\sf \mapsto 5x + 50 = 15x + 10$

$\sf \mapsto 15x - 5x = 50 - 10$

$\sf \mapsto 10x = 40$

$\sf \mapsto x = \frac{40}{10}$

${\frak {\pink {x = 4\: years}}}$

Rudy age = 4 years

Grandmother age = 15(4) = 60 years