Julianna is #x# years old. Her sister is 2 years older than her. Her mother is 3 times as old as her sister. Her Uncle Rich is 5 years older than her mother. How do you write and simplify an expression representing Rich's age?

2 Answers
May 5, 2018

Julianna's age #=x#
Her sister's age #=x+2#
Her mother's age #=3(x+2)#
Rich's age #=3(x+2)+5#
Simplify
#3(x+2)+5=3x+6+5#
#3(x+2)+5=3x+11#

May 5, 2018

#3x+11# years.

Explanation:

Here, Julianna is #x# years.

Her sister is #2# years older than her,
#rArr # Her sister is #x+2# years old.

Her mother is #3# times as old as her sister,
#rArr # Her mother is #3(x+2)# years old.

Her uncle Rich is #5# years older than her mother,
#rArr # Her uncle is #3(x+2)+5# years old.
#rArr 3x+6+5# years.
#:.# Rich is #3x+11# years old.

Hope this helps :)