Question

Age of Ram's father is 4 times the age of Ram. 5years ago, age of Ram's father was 9 times the age of Ram at that time. Find the presentage of Ram.​

Answer 1

Step-by-step explanation:

Let Ram’s present age be x years Ram’s father present age is 4x years Age of Ram after 5 years = (x + 5) years Age of Ram’s father after 5 years = (4x + 5) years Given (4x + 5) = 3(x + 5) 4x + 5 = 3x + 15 4x – 3x = 15 – 5 x= 10 4x = 4(10) = 40 Thus, Ram’s present age is 10 years and Ram’s father present age is 40 years.

Answer 2

Answer:

★ Ram's Age = 8 Years ★

Step-by-step explanation:

Given:

• Ram's father age is 4 times the age of Ram.
• 5 years ago Ram's father age was 9 times the age of Ram at that time.

To Find:

• Present age of Ram.

Solution: Let Ram's father age be x years and Ram's age be y years.

∴ Ram's father age = 4 times of Ram's age = 4y

→ x = 4y .............(1)

★ Five years ago their ages ★

• Ram's age = (y – 5) years
• Ram's father age = (x – 5) years

A/q

$\small\implies{\sf }$ (x – 5) = 9(y – 5)

$\small\implies{\sf }$ (4y – 5) = 9y – 45.........[ Since, x = 4y ]

$\small\implies{\sf }$ 4y – 9y = – 45 + 5

$\small\implies{\sf }$ –5y = – 40

$\small\implies{\sf }$ 5y = 40

$\small\implies{\sf }$ y = 40/5

$\small\implies{\sf }$ y = 8 Years

Hence, Ram's age is y years = 8 Years and Ram's father age is 4y years = 4(8) = 32 Years