A mother is now three time as old as her daughter five years ago there sum of ages was 50 find mother age now
m = 3d
m-5 + d-5 = 50
15
To find the mother's age now, we need to set up equations based on the given information.
Let's assume the current age of the daughter is D and the current age of the mother is M.
We're given that "a mother is now three times as old as her daughter." Therefore, we can write the equation:
M = 3D ... Equation 1
We're also given that "five years ago, their sum of ages was 50." This means we need to subtract 5 from each age and sum them together to find the equation:
(M - 5) + (D - 5) = 50
To solve this equation, we can substitute Equation 1 (M = 3D) into the second equation:
(3D - 5) + (D - 5) = 50
4D - 10 = 50
4D = 60
D = 15
Now that we know the daughter's current age (D = 15), we can substitute it back into Equation 1 to find the mother's age:
M = 3D
M = 3 * 15
M = 45
Therefore, the mother's age now is 45.