Question

The ratio of ages A and B is 2:3. If Not is 3 years older than A. Find the age of A after 2 years

Answer 1

Answer :

8 years

Solution :

Here ,

It is given that , the ratio of ages of A and B is 2:3 .

Thus ,

Let the ages of A and B be 2x and 3x respectively .

Now ,

According to the question , B is 3 years older than A .

Thus ,

=> 3x = 2x + 3

=> 3x - 2x = 3

=> x = 3

Thus ,

A's age = 2x = 2•3 = 6 years

Hence ,

A's age after 2 years = 6 + 2 = 8 years

Answer 2

Step-by-step explanation:

$\bf{\underline{\underline\red{Given:-}}}$

• The ratio of the ages of A and B is 2 : 3.

• B is 3 years older than A

$\bf{\underline{\underline\blue{To\:Find:-}}}$

• The age of A after 2 years.

$\bf{\underline{\underline\green{Solution:-}}}$

Let the common ratio between the ages of A and B be x

The ratio of the ages of A and B is 2 : 3.

The present age of A = 2x

The present age of B = 3x

And B is 3 years older than A

So:-

Age of B = Age of A + 3

→ 3x = 2x + 3

→ 3x - 2x = 3

→ x = 3

The present age of A

= 2x

= 2 × 3

= 6

The present age of A = 6 years.

The present age of B

= 3x

= 3 × 3

= 9

The present age of B = 9 years

We are asked to find the age of A after 2 years

Age of A after 2 years:-

= Present age of A + 2

= 6 + 2

= 8

$\underline{ \boxed{ \rm \purple{ \therefore Age \: of \: A \: after \: 2 \: years = 8 \: years}}}$