Question

Sumeet is twice as old as Amit. Amit is 2/3 of Akhil. After 5 years Akhil will be
equal to present age of Sumeet. What is the present age of Amit?​

Answer 1

Answer:

The present age of Amit is 10 years.

Step-by-Step explanation:

Sumeet is twice as old as Amit

Amit is 2/3 of Akhil

After 5 years Akhil will be equal to present age of Sumeet.

Amit's present age = ??

Let,

• Age of Akhil = x
• Age of Amit = 2x/3

Sumeet is twice as old as Amit,

So, Age of Sume.et = 4x/3

After 5 years,

Akhil will be equal to present age of Sumeet

So,

⇒ $x \: + \: 5 \: = \: \dfrac{4x}{3}$

⇒ 3x + 15 = 4x

⇒ 3x + 15 - 4x = 0

⇒ - x + 15 = 0

⇒ - x = - 15

⇒ x = 15

Age of Akhil = 15 years

Age of Amit = 2x/3

⇒ $\dfrac{2x}{3} = \dfrac{15 \: \times \: 2}{3}$

⇒ $\dfrac{30}{3} = 10$

The present age of Amit = 10 years.

Therefore,The present age of Amit is 10 years

Answer 2

Step-by-step explanation:

Given :

•Sumeet is twice as old as Amit

•Amit is 2/3 of Akhil

•After 5 years Akhil will be equal to •present age of Sumeet

To find :

•present age of Amit

Solution :

suppose,

Amit's present age = x

Sumeet's age = 2x

Let,

The age of Akhil = y

According to the question:

2/3(y) = x

Also,

y + 5 = 2x

another condition of question :

After 5 years,

Akhil will be equal to present age of Sumeet

==> 3x/2 + 5 = 2x

==>3x + 10 = 4x

==>4x – 3x = 10.

==>x = 10

The present age of Amit is 10 years

Therefore, The present age of Amit is 10 years