Father says to son " I am 9 times as old as you were when I was as old as you are ", If sum of their ages is 56 years. What is the age of the father?
A. 20
B. 09
C. 45
D. 36
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let fathers age be x and sons age be y, then sum of ages is
x+y=56 or y=56-x
given that father says "I am 9 times as old as you were when I was as old as you are "
so,
x=9[y- (x-y)]
x=9[(56-x) - (x- (56-x))]
x=9[56 - x - (x- 56+x)]
x=9[56 - x - 2x+56]= 9(112-3x)
x=1008 - 27x
28x = 1008
x=36
So Fathers age is 36years
45
45
45