Question

the ratio of Rohans age to that of his father is 1 isto 4 calculate their ages if the sum of their ages is 50 years ​

Answer 1

Answer:

Let the age of Rohan be x

So age of father = 50-x

ATQ

x:(50-x)=1:4

4x=50-x

5x=50

x=10

Age of Rohan =10 years

,,,,,,,,,,,,, his father =50-10 = 40 Years

Answer 2

❥${\red{\underline{\underline{\huge{\mathtt{Question:-}}}}}}$

The ratio of Rohan's age to that of his father is 1:4 . Calculate their ages if the sum of their ages is 50 years.

❥${\red{\underline{\underline{\huge{\mathtt{Solution:-}}}}}}$

• The ratio of their ages= 1:4

•The sum of their ages = 50 years.

• Let the age of Rohan be = x years.
• Let the age of Rohan's father= y years.

According to the question,

x + y = 50

→ x = 50- y ...............(i)

Ratio of their ages = 1:4

★A/Q,

x : y = 1:4

→(50-y):y = 1:4

→$\frac{50-y}{y}=\frac{1}{4}$

→y = 200-4y

→y+4y = 200

→5y = 200

→ y = 40

${\boxed{\green{\bold{Age\:of\:Rohan's\: father=\:40\: years}}}}$

✞Putting y = 40 in (i) no. equation✞

x= 50- y

→x = 50-40

→x = 10

${\boxed{\green{\bold{Rohan's\:age\:=\:10\: years}}}}$

❥${\red{\underline{\underline{\huge{\mathtt{Answer:-}}}}}}$

Hence, Rohan's age is 10 years and his father's age is 40 years.