A comparison of ages of A, B, C, D and E are as follows
I. B' s age is half the age of A
II. B' s age is `1 ½` times the age of C
III. D' s age is 12 years less than C .
IV. D' s age is `1 ½` times than age of E .
V. The age of E is 12 years
With the given data what will be the difference in the ages of A and C ?

Options

A. 64
B. 60
C. 40
D. 36

Answer

B

Explanation

Let.s A.s age = x
`therefore` B.s age `= (x)/(2)`
C.s age `=(x)/(3)`
D.s age `=(x)/(3) -12`
E.s age `=(2/3)(x/3-12)`
Acc. To question `(2)/(3)(x/3-12)=12`
`therefore x =90`
`therefore` difference of ages of A & C =90-30 =60