the sum of father and sons age is 18. before 10 years father age was 5 time of his son at that time .find the present age
Answers
The present age comparison gives us formula A where the Father's present age is x, and the son's present age is y.
A: x = 5y
The second part of the question brings us to Formula B:
B: x + 10 = 10 (y + 10)
5y + 10 = 10y + 100 ...substituting Formula A into B
-5y = 90
y = -18
If the son actually is -18 years old now, then the father is -90 years old (i.e. 5 times the son's age)
Checking their ages 10 years later, the son would then be -8 years old while the father becomes -80 years old, which properly is 10 times the son's age.
The result to this question makes me think that this father and son duo are stuck in a parallel path as Benjamin Button had, but in this timeline, the son actually is older than the father as he is now closing in to the zero mark as the years pass...and how that happens is just - well - magical and sad at the same time.
Back to the question - if we replace "After 10 years" with "10 years ago", we would be snatched back into the real world where we work with positve ages - where the Father was 10 times the age of his son at the time.
Formula A remains the same as the present age comparison doesn't change.
Formula B would instead become:
B: x - 10 = 10 (y - 10)
5y - 10 = 10y - 100 ...substituting Formula A into the new B
-5y = -90
y = 18
In this alternate present world, the father would then be 90 years old.
Answer:
The present age comparison gives us formula A where the Father's present age is x, and the son's present age is y.
A: x = 5y
The second part of the question brings us to Formula B:
B: x + 10 = 10 (y + 10)
5y + 10 = 10y + 100 ...substituting Formula A into B
-5y = 90
y = -18
If the son actually is -18 years old now, then the father is -90 years old (i.e. 5 times the son's age)
Checking their ages 10 years later, the son would then be -8 years old while the father becomes -80 years old, which properly is 10 times the son's age.
The result to this question makes me think that this father and son duo are stuck in a parallel path as Benjamin Button had, but in this timeline, the son actually is older than the father as he is now closing in to the zero mark as the years pass...and how that happens is just - well - magical and sad at the same time.
Back to the question - if we replace "After 10 years" with "10 years ago", we would be snatched back into the real world where we work with positve ages - where the Father was 10 times the age of his son at the time.
Formula A remains the same as the present age comparison doesn't change.
Formula B would instead become:
B: x - 10 = 10 (y - 10)
5y - 10 = 10y - 100 ...substituting Formula A into the new B
-5y = -90
y = 18
In this alternate present world, the father would then be 90 years old.
Step-by-step explanation: