SOLUTION: A woman has a son and a daughter. The mother is three times as old as her son. The son is seven years older then the daughter. Three years from now the boy will be twice as old as

Question 976963: A woman has a son and a daughter. The mother is three times as old as her son. The son is seven years older then the daughter. Three years from now the boy will be twice as old as his sister will be. What are the three linear equations for this problem ?
Found 2 solutions by FrankM, lwsshak3:
Answer by FrankM(1040) (Show Source): You can put this solution on YOUR website!
M=3S
S=D+7
S+3=2(D+3)
Above is the answer. To complete the problem, we can add 3 to the second equation, both sides.
S+3=D+10
Then set an equation as follows:
2(D+3)=D+10
2D+6=D+10
D=4, S=11, M=33
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A woman has a son and a daughter. The mother is three times as old as her son. The son is seven years older then the daughter. Three years from now the boy will be twice as old as his sister will be. What are the three linear equations for this problem ?
***
let x=son's age
3x= mother's age
x-7=daughter's age
..
3 yrs from now:
x+3=son's age
x-7+3=x-4=daughter's age
x+3=2(x-4)
x+3=2x-8
x=11
son's age=11
mother's age=33
daughter's age=4

RELATED QUESTIONS
A MOTHER IS 6 TIMES AS OLD AS HIS SON AND THREE TIMES AS OLD AS HIS DAUGHTER. IF THE... (answered by ankor@dixie-net.com)
A mother is 8 times as old as her daughter and 4 times as old as her son. How old is each (answered by josmiceli,ankor@dixie-net.com)
a woman has a son and a daughter. the woman is twice as old as her son, and the son is... (answered by josgarithmetic)
A mother is 23 years older than her son. In 7 years she will be twice as old as her son.... (answered by stanbon)
A woman has a daughter and a son. The son is three years older than the daughter. In one... (answered by ankor@dixie-net.com)
A mother is 25 years older than her son. In 10 years she will be twice as old as her son. (answered by TimothyLamb)
Mrs Pritchard has a son and a daughter. The woman is twice as old as her son and the son... (answered by 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)
A mother is 40 years old and her son is 8 years old In how many years will the mother be... (answered by jorel555)