Janiyah is 2/3 years older than Hannah. Hannah is 1/4 a year older than Sia. If Sia is 10 1⁄2 years old, how old is Hannah?

Hannah is 10 and 3/4 years old

Step-by-step explanation:

Yanira: 10 years old;

Tim: 7 years old;

Hannah: 5 years old.

Step-by-step explanation:

Call the ages of the three with the initials:

y

,

t

and

h

, so, we can write:

y

=

t

+

3

y

=

2

h

t

=

h

+

2

let us solve simultaneously these three equations ( a system):

substitute the second equation into the first for

y

:

2

h

=

t

+

3

so

t

=

2

h

−

3

substitute this into the third for

t

and find

h

:

2

h

−

3

=

h

+

2

h

=

5

so that we have:

t

=

2

⋅

5

−

3

=

7

and:

y

=

2

⋅

5

=

10

step-by-step explanation: