Five years ago I was three times as old as my daughter 10 years hence I will be twice as old as my daughter find my present age and my daughter present age
Answers
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Five years ago I was three times as old as my daughter and then 10 years later I will be twice as old as my daughter. Find my present age and my daughter's present age.
Answer:
The present age of daughter = 20 years
My present age = 50 years
Step-by-step explanation:
Let the Present age of my daughter = x
My present age = y
Five years ago,
Age of my daughter = x-5
My age = y-5
Ten years later,
Age of my daughter = x+10
My age = y+10
Given condition,
Five years ago I was three times as old as my daughter
Mathematically it can be written as
y-5 = 3(x-5)
y-5 = 3x-15
y = 3x-15+5
y = 3x-10 ----------------------(i)
Ten years later I will be twice as old as my daughter
Mathematically it can be written as
y+10 = 2(x+10)
y = 2x+20-10
y = 2x+10 ----------------(ii)
from (i) and (ii)
3x-10 = 2x+10
3x-2x=10+10
x = 20
Now substitute the value of x = 20 in equation(i)
y = 3(20)-10
y = 50
Hence,
The present age of daughter x = 20years
My present age y = 50years
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