Question

Aryans age is one sixth of her mother age ayan mother's age will be twice of Arjun's age after 10 years if Arjun's 9th birthday was celebrated one year before then Aryans present age is in years​

Answer 1

Given:

Aryan's age is one-sixth of his mother's age. After 10 years, Aryan mother's age will be twice of Arjun's age.

Arjun's 9th birthday was celebrated one year before.

To find:

The present age of Aryan.

Solution:

As Arjun's 9th birthday was celebrated one year before, so, the present age of Arjun is= 10 yrs.

After 10years, Arjun's age= 20yrs.

So, the age of Aryan's mother after 10yrs= twice of Arjun's age= 2× 20yrs= 40yrs.

The present age of Aryan's mother= (40-10)yrs= 30yrs.

The present age of Aryan= one-sixth of his mother's age.

So,

$\frac{1}{6} \times 30$

$= 5yrs \:$

Hence, the present age of Aryan is 5years.

Answer 2

Answer:

Answer is 5

Step-by-step explanation:

let ayan age be = x

mother age = 6x

after 10 years :-

mother age 6x +10

arun age 6x+10 /2 = 3x+5

arun present age 3x+5-10 = 3x-5

3x-5 = 10

3x = 10+5

3x = 15

x = 5

5 years