a mother is four times as old as her daughter.in 12 years time she will be twice as old as her daughter. what is the age of the mother now?
Let x be the age of the daughter.....then 4x is the age of the mother
And in 12 years, we will have
(4x + 12) = 2(x + 12) simplify
4x + 12 = 2x + 24 rearrange
2x = 12 divide by 2
x = 6
So...her mother is 4x = 4(6) = 24
Let the today's age of the mother be M and the daughter be D
M =4D
M+12=2(D+12)
subtract
0 -12=4D-2(D+12)
-12 = 4D-2D-24
-12= 2D-24
12=2D
D=6
M=4*6=24
the daughter is 6 and the mother is 24