SOLUTION: A mother is 15 years older than twice her daughter's age. if the difference of their ages is 32, how old is each person?

Algebra.Com
Question 913039: A mother is 15 years older than twice her daughter's age. if the difference of their ages is 32, how old is each person?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = daughter's age
------------------------
(1)
(2)
--------------------
By substitution:
(1)
(1)
(1)
and
(2)
(2)
---------------
The mother is 49 and the daughter is 17
check:
(1)
(1)
(1)
(1)
OK

RELATED QUESTIONS

a mother’s age is 13 years older than twice her daughters age. if the difference of... (answered by josgarithmetic)
A mother is 15 years older than her daughter. if the sum of their ages is 51, how old is... (answered by karan037,lynnlo)
A mother is 12 years older than triple the age of her daughter. The sum of their ages is (answered by ewatrrr)
A 32 year old mother realized that her age is twice the sum of her two children's ages.... (answered by addingup)
The combined ages of a mother,her son and her daighter are 61 years. The mother is 22... (answered by ikleyn)
A mother is 15 years older than her son. The mother's age is 5 years more than twice her... (answered by ewatrrr,josgarithmetic)
Eliasbeth is 6 years older than her sister elisa. Their mother's age is twice the sum of... (answered by sudhanshu_kmr)
A 32 year old women realized that her age is twice the sum of her two children’s ages.... (answered by ikleyn)
A mother is 28 years older than her daughter. In 5 years the sum of their ages will be... (answered by Alan3354,josgarithmetic)