Question

If the present age of sunita's mother is three times of Sunita. After seven years sum of their ages would be 86 years. Find the present age of Sunita and her mother.

Answer 1

Step-by-step explanation:

Let the age of Sunita be x years.

Age of Sunita Mother =3x

After 7 years,

Age of Sunita =x+7

Age of Sunita Mother =3x+7

According to the question,

(x+7)+(3x+7)=86 years

4x+14=86

4x=86-14

x=72/4

x=18 years

Age of Sunita =18 years

Age of Sunita Mother =18*3=54 years

Hope it helps

Answer 2

✬ Sunita age = 18 Years ✬

✬ Mother age = 54 Years ✬

Step-by-step explanation:

Given:

• Present age of Sunita's mother is 3 times of Sunita.
• After seven years sum of their ages will 86 years.

To Find:

• What is the present age of Sunita and her mother ?

Solution: Let present age of Sunita be x years. Then, her mother age

➣ Sunita's mother age = 3 times of Sunita's age

➣ Mother age = 3x Years.

Now, after seven years their ages will be

• Sunita age = (x + 7) Years
• Mother age = (3x + 7) Years

A/q,

• 7 years later sum of their ages would be 86 years.

∴ Sunita age + Her mother age = 86

$\implies{\rm }$ (x + 7) + (3x + 7) = 86

$\implies{\rm }$ x + 7 + 3x + 7 = 86

$\implies{\rm }$ 4x + 14 = 86

$\implies{\rm }$ 4x = 86 – 14

$\implies{\rm }$ 4x = 72

$\implies{\rm }$ x = 72/4

$\implies{\rm }$ x = 18

Hence, the present ages of both are

➨ Sunita age = x = 18 Years.

➨ Sunita's mother age = 3x = 3(18) = 54 Years.