Question

The difference between the age of Radha and

Dolly is 10 years. After 5 years Radha’s age will

become twice that of Dolly. Find their present

ages.​

Answer 1

Their present age are Radha's is 15 years and Doll's is 5 years.

Step-by-step explanation:

Given : The difference between the age of Radha and Dolly is 10 years. After 5 years Radha’s age will  become twice that of Dolly.

To find : Their present  ages ?

Solution :

Let the age of radha be R

and dolley be D

The difference between the age of Radha and Dolly is 10 years.

i.e. $R-D=10$ .....(1)

After 5 years,

Age of Radha = R+5

Age of Dolly = D+5

Radha’s age will  become twice that of Dolly.

i.e. $R+5=2(D+5)$  ...(2)

Substitute D from (1),

$R+5=2(R-10+5)$

$R+5=2R-10$

$R=15$

Substitute in (1),

$15-D=10$

$D=5$

Their present age are Radha's is 15 years and Doll's is 5 years.

#Learn more

Twenty years ago the ratio between the ages of sita and meena was 1 : 4 and at present it is 1 : 2. what is the age of sita at present ?

https://brainly.in/question/1856551

Answer 2

The present age of Radha = 15 years and

The present age of Dolly = 5 years  

Step-by-step explanation:

Let the present age of Radha = x years and

The present age of Dolly = y years

To find, the present age of Radha and Dolly = ?

According to question,

x - y = 10                       ............ (1)

After 5 years,

The age of Radha = (x + 5) years and

The age of Dolly = (y + 5) years

x + 5 = 2(y + 5)

⇒ x + 5 = 2y + 10

⇒ x - 2y = 5                ............ (2)

Subtracting (1) from (2), we get

x - y - (x - 2y ) = 10 - 5  

⇒ x - y - x + 2y = 5

⇒ y = 5

Put y = 5 in equation (1), we get

x - 5 = 10  

⇒ x = 10 + 5 = 15

∴ The present age of Radha = 15 years and

The present age of Dolly = 5 years