SOLUTION: A mother is 33 years older than her twin children. In 3 years her age will be twice the combined ages of the twins. How old are the twins now?

Algebra.Com
Question 1035408: A mother is 33 years older than her twin children. In 3 years her age will be twice the combined ages of the twins. How old are the twins now?
Answer by rothauserc(4718)   (Show Source): You can put this solution on YOUR website!
let x be age of her twins and y be the age of their mother
:
1) y = x + 33
2) y + 3 = 2(x + x +3)
:
using equation 1 substitute for y in equation 2
:
x+33 +3 = 2(2x+3)
:
x + 36 = 4x + 6
:
3x = 30
:
x = 10
:
y = 10 + 33 = 43
:
****************************
the twins are 10 years old
their mother is 43 years old
****************************
:

RELATED QUESTIONS

A mother is 33 years older than her twin children. In 3 years her age will be twice the... (answered by ankor@dixie-net.com)
A mother is 30 years older than her twin daughters. In 2 years her age will be three... (answered by ankor@dixie-net.com,josgarithmetic)
Mary is 2 years older than Ed, and 3 years ago Mary was twice as old as Ed. Find their... (answered by ikleyn)
Ana is 24 years older than twice the age of her younger sister. In ten years, their... (answered by ankor@dixie-net.com)
Nono is Five years older than his twin sisters. The sum of the ages of the twins three... (answered by lwsshak3)
James is five years older than his twin sisters. The sum of the ages of the twins three... (answered by TimothyLamb,ankor@dixie-net.com)
A woman has a daughter and a son. The son is 3 years older than the daughter. In one year (answered by user_dude2008)
The combined age of a mother and her twin daughters is 58. The mother was 25 years old... (answered by mananth)
The combined age of a mother and her twin daughters is 58 years. The mother was 25 year... (answered by stanbon,DrBeeee)