Question

priya's mother is four times as old as priya. after 5 years. her mother will be three times as old as she will be than. what are their present ages?​

Answer 1

Answer:

➡ Priya's age = 10 years.

➡ Her mothers age = 40 years.

Step-by-step explanation:

Given that,

➡ Priya's mother is 4 times priya's age

➡ After 5 years her mother will be 3 times as old as priya.

Solution :

Assuming priya's age as x years

Then, her mothers age is 4x years.

After 5 years duration :

➡ Priya's age = (x + 5) years

➡ Her mothers age = (4x + 5) years

According to the question :

➡ 3(x + 5) = 4x + 5

➡ 3x + 15 = 4x + 5

➡ 15 - 5 = 4x - 3x

➡ 10 = x

Or, x = 10 years.

Hence,

➡ Priya's age = 10 years .

➡ Her mothers age is = 4x = 40 years.

Proof :

✦ In the question it is told that after 5 years her mother is 3 times priya's age

Therefore again,

After five years:

➡ Priya's age = 10 + 5 = 15 years.

➡ Her mothers age = 40 + 5 = 45 years.

✦ As we see her mother is 3 times i. e.,(15*3 = 45) priya's age.

Hence proved