Question #c79bc

2 Answers

Your sister's age is #9 #
and your age is #14#

Explanation:

Let your sister's age be #x#
Your age is #x+5#

#2x+5=23#

So #x=9#

#x+5 = 14#

Apr 28, 2017

Sister is #9# years old and you are #14# years old

Explanation:

Let your sister's age be #x#

Then, you are #x+5# years old if your sister is #x# years old

#:.(x+5)+x=23#

#:.2x+5=23#

#:.2x=23-5#

#:.2x=18#

#:.x=9# your sister's age

check:

substitute #x=9#

#(9+5)+9=23#

#14+9=23#

#23=23#

your age#:.=(x+5)=9+5=14# years old.