SOLUTION: Esther is 18 years younger than her mother. If the sum of their ages 2 years ago was 70.How old is Esther and her mother.

Algebra.Com
Question 831018: Esther is 18 years younger than her mother. If the sum of their ages 2 years ago was 70.How old is Esther and her mother.
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = Esther's age now
Let = her mother's age now
--------------
(1)
(2)
--------------------------
(1)
and
(2)
(2)
----------------------
Add (1) and (2)
(1)
(2)


and, since
(1)
(1)
(1)
Esther is 28 and her mother is 46
check:
(2)
(2)
(2)
(2)
OK

RELATED QUESTIONS

Renee is 26 years younger than her mother. The sum of their ages is 54. How old is... (answered by ankor@dixie-net.com)
Ten years ago a mother was three times as old as her son was. The sum of their ages... (answered by jorel1380)
The daughter is 36 years younger than her mother. How many years ago was the mother 5... (answered by Alan3354,ankor@dixie-net.com,Edwin McCravy)
1) A mother is five times as old as her daughter. If the sum of their ages 6 years ago... (answered by addingup)
A mother is 20 years older then her daughter. A. If the daughter is y years old, how old (answered by ankor@dixie-net.com)
A mother is 20 years older then her daughter. A. If the daughter is y years old, how old (answered by addingup,MathTherapy)
The sum of th ages of a mother and her daughter is 52 years. Eight years ago, the mother... (answered by math_helper)
the sum of angle's age and her mother's age is 56. two years ago, her mother was three... (answered by josmiceli)
A mother is now three times as old as her daughter if the sum of their ages five years... (answered by stanbon)