Father is aged three times more than his son Tahir, After 88 years ,he would be two and a half time age , after further 88 years , how many time would he be of tahirs age:
A. 44 times
B. 55 times
C. 22 times
D. 33 times
Answers
22timeswould be age of tahir
2 and 1/2 =5/2
Let, Tahir's age be 'x'
Father's age = (x*3)
= 3x
After 88 years_
Tahir's age = (x+88)
= x+88
Father's age = (3x+88)
= 3x+88
By condition,
x+88=(x)*5/2
or, (x+88)*2=5x
or, 5x-2x=176
or, 3x=176
or, x = (176/3)
or, x = 58 years 8 months
Father's age = (58*3) years+(8*3) months
= 174+2
= 176 years
Then, after 88 years the father's age = (176+88)
= 264 years
Again further after 88 years, father's age = (264+88)
= 352 years
58 years 8 months = 704 months
352 years = 4224 months
So, father's age will be (4224/704)
= 6 times
(Ans): None of these.