if i am 3 times as old as my sister and last year i was 4 times as old as her how old am i now and how old is she
well how old is your sister
You are 9 and she is 3 (3x3=9)
Last year you were 8 and she was 2
(2x4=8)
your sister is 3 and you are 9
let x = sister's age
and y = your age.
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last year sister's age was x-1.
last year your age was y-1.
y = 3x for this year.
y-1 = 4(x-1) for last year.
solve for x and y.
The answers above are correct but this tells you how to do it.
To solve this problem, let's represent your sister's age as x and your age as y.
According to the given information, you are three times as old as your sister. So, y = 3x.
Last year, you were four times as old as your sister. This means that your age last year (y - 1) was equal to four times your sister's age last year (x - 1). So, y - 1 = 4(x - 1).
Now, we have a system of two equations:
1. y = 3x
2. y - 1 = 4(x - 1)
From equation 1, we can substitute y in equation 2 with 3x to get:
3x -1 = 4(x - 1)
Simplifying the equation gives us:
3x - 1 = 4x - 4
Rearranging the equation gives us:
x = 3
Substituting the value of x in equation 1 gives us:
y = 3(3) = 9
Therefore, your sister is 3 years old and you are 9 years old.