2 years ago my mother was 4 times my age then. In 18 years I will be half my mothers new age. How old am I now?
I am so stuck
2 years ago
Sx4-M
(S+18)=(M+18)/2
Now what do I do
2 years ago you were x
2 years ago your mom was 4x
18 years from now, you will be x+20
18 years from now, your mom will be 4x+20
x+20 = (1/2)(4x+20)
x+20 = 2x + 10
10 = x
2 years ago, you were 10, your mom was 40
you are now 12, your mom is now 42
check:
2 years ago you were 10, you Mom was 40
18 years from now you will be 12+18 or 30, your Mom will be 42+18 or 60 , so you will be half her age.
That checks out!
Awesome thank for the help 😀✌
mr and mrs smith, their 2 children and dog want to cross a river in a boat that would hold only 80 kg and both Mr. and Mrs Smith have a mass of 80 kg and both the children have a mass of 40 kg and the dog has a mass of 5 kg explain how they can cross the river in the fewest crossings possible.
Thanks for the help
To solve this problem, let's break it down step by step.
Let's start by assigning variables for your age and your mother's age. Let "M" represent your mother's age and "S" represent your age.
According to the given information, 2 years ago your mother was 4 times your age, which can be expressed as:
M - 2 = 4(S - 2) [Equation 1]
Further, it is mentioned that in 18 years, you will be half your mother's new age. This can be written as:
S + 18 = (M + 18)/2 [Equation 2]
Now, we have a system of two equations (Equation 1 and Equation 2) that we can solve simultaneously to find the values of M and S.
To solve this system, we can use a method called substitution. We can rearrange Equation 1 to find M in terms of S and then substitute that expression for M in Equation 2.
Let's solve Equation 1 for M:
M - 2 = 4(S - 2)
M = 4S - 6 [Equation 3]
Now, substitute Equation 3 into Equation 2:
S + 18 = (4S - 6 + 18)/2
S + 18 = (4S + 12)/2
S + 18 = 2S + 6
Next, we can isolate S by subtracting 2S from both sides and subtracting 6 from both sides:
S - 2S = 6 - 18
-S = -12
Divide both sides of the equation by -1:
S = 12
So, your current age is 12 years old.