Question

Yasmeen's mother is four times as old as Yasmeen.
After 5 years, her mother will be three times as old
as she will be then. Find their present ages.
(a) 10.40
(b) 20,80
(c) 10,20
(d) 40, 50​

Answer 1

✬ Yashmeen's age = 10 years ✬

✬ Mother's age = 40 ✬

Step-by-step explanation:

Given:

• Yashmeen's mother is 4 times as old as Yashmeen.
• 5 years later her mother will be three times of her age at that time.

To Find:

• What are their present ages ?

Solution: Let the present age of Yashmeen be x years. Therefore,

➟ Her mother's age = 4 times of x

➟ Mother's age = 4x years

Now after 5 years their ages will be

• Yashmeen age = (x + 5) years
• Mother's age = (4x + 5) years

A/q

• 5 years later her mother will be three times of Yashmeen's age.

$\implies{\rm }$ 4x + 5 = 3(x + 5)

$\implies{\rm }$ 4x + 5 = 3x + 15

$\implies{\rm }$ 4x – 3x = 15 – 5

$\implies{\rm }$ x = 10

So, their present ages are

➨ Yashmeen's age is x = 10 years

➨ Her mother's age is 4x = 4(10) = 40 years.

[ Verification ]

Mother age is 4 times of her daughter age.

• 40 = 4 × 10
• 40 = 40

$\large\bold{\texttt {Verified }}$

Answer 2

Given :-

• Yasmeen's mother is four times as old as Yasmeen.

• After 5 years, her mother will be 3 times as old as her.

To Find :-

• Their Present Ages.

Solution :-

☯️ Let,

Age Of Yasmeen = x.

Age Of Yasmeen's Mother = 4x.

☯️ After 5 Years,

Age Of Yasmeen = x + 5.

Age Of Yasmeen's Mother = 4x + 5.

According To The Question,

4x + 5 = 3(x + 5).

➭ 4x + 5 = 3x + 15.

➭ 4x - 3x = 15 - 5.

➭ x = 10.

Therefore,

• Age Of Yasmeen = x = 10 Years.

• Age Of Yasmeen's Mother = 4x = 40 Years.