Question

The sum of the present ages of Akhil and Bharat is
38 years. After eight years the ages of Akhil and
Bharat will be in the ratio of 4:5. What will be the
age of Akhil after two years?​

Answer 1

Given:

Sum of present ages of Akhil and Bharat is 38 years.

After 8 years, the ratio of their ages is 4:5.

Find: Akhil's age after 2 years.

Answer:

Let the present ages of Akhil and Bharat be a and b years respectively.

From given:

a + b = 38. - Eqn. 1

a + 8/b + 8 = 4/5. - Eqn. 2

On Cross Multiplying Eqn. 2:

5a + 40 = 4b + 32.

On rearrangement:

5a - 4b = -8. - Eqn. 3

Multiplying Eqn. 1 by 4 and adding with Eqn. 3:

4a + 4b = 152.

+ 5a - 4b = -8.

9a = 144.

a = 144/9.

a = 16.

And,

b = 38 - 16.

b = 22.

Therefore, their present ages are 16 and 23 years respectively.

Now, Akhil's age after 2 years will be,

a + 2 = 16 + 2 = 18 years.

Hence, Akhil's age after 2 years will be 18 years.

And: 18 years.

Answer 2

Given :-

The sum of the present ages of Akhil and Bharat is  38 years. After eight years the ages of Akhil and  Bharat will be in the ratio of 4:5

To Find :-

Age of Akhil after 2 years

Solution :-

Let the age of Akhil be x and age of Bharat be y

x + y = 38

x = 38 - y(1)

Now

According to second case

x + 8/y + 8 = 4/5

5(x + 8) = 4(y + 8)

5x + 40 = 4y + 32

5x - 4y = 32 - 40

5y - 4y = -8

5(38 - y) - 4y = -8

190 - 5y - 4y = -8

-9y + 190 = -8

-9y = -8 - 190

-9y = -198

9y = 198

y = 198/9

y = 22

By using y

x = 38 - 22

x = 16

Age of Akhil after 2 years = 16 + 2 = 18 years

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