Last three year kemi who happens to be my sister was 2wice as old as my lovely brillant primary school friend femi,last three years when i was two less than femi age now.the sum of kemi age in the next 9years and femi age noe and my age in the next three year will be equal to 60....what is our present age now???
Where do you get this stuff? No way the problem was presented in those words!
I'll assume that
"last three year" means "three years ago".
"next nine years" means "nine years from now"
We have three ages:
m: me
k: kemi
f: femi
We are told:
k-3 = 2(f-3)
m-3 = f-2
k+9 + f + m+3 = 60
So, do the math. Nope, not an integer result. So, I did not understand the "information." Anyway, you fix it and it will be easy to solve.
To solve this problem, let's break it down step by step:
1. Let's assign variables to the ages:
- Let K represent Kemi's present age.
- Let F represent Femi's present age.
- Let M represent your (the user's) present age.
2. Based on the given information, we can gather the following equations:
- K - 3 = 2(F - 3) [Three years ago, Kemi was twice as old as Femi.]
- M - 3 = F - 2 [Three years ago, you were two less than Femi's age at that time.]
- (K + 9) + (F + 9) + (M + 3) = 60 [The sum of Kemi's age in the next 9 years, Femi's current age, and your age in the next three years will be equal to 60.]
3. We can simplify the equations:
- K - 3 = 2F - 6
- M - 3 = F - 2
- K + F + M + 21 = 60
4. Rearrange the equations:
- K - 2F = -3
- M - F = -1
- K + F + M = 39
5. Using a system of linear equations, we can solve for K, F, and M:
From equations 2 and 3, we can rewrite equation 3 as:
- K + F = 39 - M
Substitute this into equation 1:
- K - 2F = -3
- (39 - M) - 2F = -3
- 39 - M - 2F = -3
- 36 - M - 2F = 0
- M + 2F = 36
Now, we have a system of two equations:
- M - F = -1
- M + 2F = 36
Solving this system will yield the values of M and F. Let's solve it using the substitution method:
From equation 1: M = F - 1
Substitute this into equation 2:
- (F - 1) + 2F = 36
- -F + 2F = 37
- F = 37
Substitute F = 37 into equation 1:
- M - 37 = -1
- M = 36
6. Now that we know M = 36 and F = 37, let's find K:
From equation 3: K + F + M = 39
Substitute the known values:
K + 37 + 36 = 60
K + 73 = 60
K = 60 - 73
K = -13
However, since age cannot be negative, we made an error at some point during the calculations.
Double-check the previous steps to ensure that all calculations are accurate.