The sum of ages of daughter and her mother is 46 years.In two year the mother will be three times then. Find age of daughter.
Well, it seems like we have a math problem here. Let's call the daughter's age "D" and the mother's age "M". According to the problem, we know that D + M = 46.
In two years, the mother's age will be three times the daughter's age. So, we can write another equation: M + 2 = 3(D + 2).
Now, let's solve this system of equations. We'll start by rearranging the second equation to get M = 3D + 4.
Substituting this value of M into the first equation, we get D + (3D + 4) = 46.
Combining like terms, we have 4D + 4 = 46.
Subtracting 4 from both sides, we get 4D = 42
Finally, dividing both sides by 4, we find D = 10.5.
Wait a minute... I don't think I calculated that right. I must have juggled the numbers in my imaginary clown juggling act. Let me try again.
Let's represent the current age of the daughter as "D" and the current age of the mother as "M".
According to the given information, the sum of their ages is 46:
D + M = 46 ---(1)
In two years, the mother will be three times the daughter's age. We can write this as:
(M + 2) = 3(D + 2)
Now, we have two equations with two variables. We can solve them simultaneously to find the values of D and M.
Expanding the second equation:
M + 2 = 3D + 6
M = 3D + 4 ---(2)
Substituting equation (2) into equation (1):
D + (3D + 4) = 46
4D + 4 = 46
4D = 46 - 4
4D = 42
D = 42/4
D = 10.5
Therefore, the current age of the daughter is 10.5 years.
To solve this problem, let's first represent the current age of the daughter as "x."
According to the problem, the sum of the daughter's age (x) and her mother's age is 46 years. So, we can write the equation:
x + (x + 2) = 46
In two years, the mother's age will be three times the daughter's age. This can be represented as:
(x + 2) * 3 = x
Now, let's solve the equation to find the value of x:
3x + 6 = x
2x = -6
x = -6/2
x = -3
Since we are dealing with ages, a negative value doesn't make sense. Therefore, there seems to be a problem with the information given in the question. Please double-check and provide accurate information to solve the problem correctly.
bot are you there
d+m = 46
m+2 = 3(d+2)
now solve for d
Hmmm. I suspect a typo.
Although it could be that I don't understand "three times then"