Answer:
The present age of my Father is 92 years .
Step-by-step explanation:
Given as :
Twelve years ago my father was twice as old as I was .
Three years ago our combined age was 138.
Now, From The statement
Let The age of my father = F
And The age of my = S
According to question
F - 12 = 2 × (S - 12)
Or, F - 12 = 2 S - 24
Or, 2 S - F = 24 - 12
∴ 2 S - F = 12 ..........1
Again
(F - 3) + (S - 3) = 138
Or, F + S - 6 = 138
Or, F + S = 138 + 6
∴ F + S = 144 ...........2
Now, Solving equation 1 and 2
I.e (F + S) + (2 S - F) = 144 + 12
Or, (F - F) + (S + 2 S) = 156
Or, 0 + 3 S = 156
∴ S = [tex]\frac{156}{3}[/tex]
I.e S = 52 years
So, The age of my = S = 52 years
Putting the value of S in Eq 2
I.e F + S = 144
or, F + 52 = 144
Or, F = 144 - 52
∴ F = 92 years
So, The age of my father = F = 92 years
Hence The present age of my Father is 92 years . Answer
