Question

age of a boy is three times age of a girl. 3 years ago after 5 years age of boy is twice the age of a girl find their current age​

Answer 1

Answer:

boy = 9 years

girl = 12

Step-by-step explanation:

Let the age of boy be

b

and the age of his sister be

s

So given

s

=

b

+

3

and

b

−

3

=

2

3

(

s

−

3

)

or

3

(

b

−

3

)

=

2

(

s

−

3

)

by putting

s

=

b

+

3

in the equation

3

(

b

−

3

)

=

2

(

s

−

3

)

We get

3

(

b

−

3

)

=

2

(

b

+

3

−

3

)

3

b

−

9

=

2

(

b

+

0

)

or

3

b

−

9

=

2

b

or

3

b

−

2

b

=

9

or

b

=

9

-------------boy is

9

years old

Since

s

=

b

+

3

or

s

=

9

+

3

or

s

=

12

-------------------------sister is

12

years old