SOLUTION: Please help me solve this word problem. Anna is 12 years old, and her mother is three times as old as anna. How many years ago was her mother four times as old as anna? Thank you v

Question 797162: Please help me solve this word problem. Anna is 12 years old, and her mother is three times as old as anna. How many years ago was her mother four times as old as anna? Thank you very much!
Answer by mohanraj04(12) (Show Source): You can put this solution on YOUR website!
given that
anna is 12 years old
A=12---------equ:1
where A is age of anna
her mother is three times as old as anna
M=3A---------Equ:2
by substituting equ:1 in equ:2 we get
M=3*12
M=36
therefore the present age of mother is 36 years
let X be the no. of years before her mother four times as old as anna
therefore 4[A-X]=M-X----------EQU:3
by substituting A=12 and M=36 in equ:3 we get
4[A-X]=M-X
4[12-X]=36-X
48-4X=36-X
-4X+X=36-48
-3X=-12
3X=12
X=12/3
X=4
therefore 4 years ago mother four times as old as anna

RELATED QUESTIONS
Anna is 12 years old, and her mother is three times as old as Anna. How many years ago... (answered by stanbon)

Please help me solve this problem: Maria is 18 years old. She is twice as old as Anna was (answered by ptaylor)

Anna is 54 years old and her mother, Clara is 80. How many years ago was her mother,... (answered by ewatrrr)

please help me in this age word problem : a woman is now 40 years old and her daughter is (answered by nerdybill)

Pls. help me with my assignment... Anna is twice as old as Melody. Five years ago, Anna... (answered by awang1996)

anna is three times as old mica now,but in three years time she will only be twice as... (answered by math_helper)

Anna is 9 years old. Aunt Jill is 3 times as old as Anna. How old is Aunt... (answered by AshleyStylinson)

Ten years ago, Bob was three times as old as Anna. Today, he is twice as old as Anna. How (answered by Seutip)

Paul is five times as old as his daughter Anna. In 12 years, Paul will be three times as... (answered by ankor@dixie-net.com)