Question

the ratio of present ages of khushi and kunal is 2:3 after 2years the sum of their ages will be 34years find their presents ages​

Answer 1

Answer:

given that ratio of ages is 2:3

let ratio be 2X and 3X

now after 2 years

2X+2 + 3X+2 = 34

5X + 4 = 34

5X = 30

X=6

Therefore putting values back in 2X and 3X

ages are 12 , 18 respectively

Answer 2

Answer :–

• The age of Khushi = 12 years.
• The age of Kunal = 18 years.

Given :–

• The ratio of present ages of Khushi and Kunal = 2 : 3.
• After 2 years, the sum of their ages = 34 years.

To Find :–

• Their present ages.

Solution :–

Let,

The age of Khushi be 2x.

The age of Kunal be 3x.

After 2 years,

The age of Khushi = 2x + 2.

The age of Kunal = 3x + 2.

According to the condition,

After 2 years, their sum is 34 years.

I.e.,

Age of Khushi + Age of Kunal = 34 years

So,

$\rightarrow(2x + 2) + (3x + 2) = 34$

$\rightarrow2x + 2 + 3x + 2 = 34$

$\rightarrow2x + 3x + 2 + 2 = 34$

$\rightarrow5x + 4 = 34$

$\rightarrow5x = 34 - 4$

$\rightarrow5x = 30$

$\rightarrow x = \cancel \dfrac{30}{5}$

$\rightarrow x = 6$

Now, we have to find the age of both Khushi and Kunal.

So,

The age of Khushi = 2x = 2 × 6 = 12 years.

The age of Kunal = 3x = 3 × 6 = 18 years.

Hence,

The age of Khushi and Kunal is 12 and 18 years..

Verification :–

After two years,

Age of Khushi + Age of Kunal = 34 years

Now we have,

• Age of Khushi = 14 + 2 years.
• Age of Kunal = 20 + 2 years.

So,

$\rightarrow(12 + 2) + (18 + 2) = 34$

$\rightarrow14 + 20 = 34$

$\rightarrow 34 = 34$

Hence Verified !