Among five people named A, B, C, D and E, each has a certain age. D is four times the age of C. A is two times the age of C. D is five times the age of B. The age of B is 12. If E is thrice the age of A, what is the age of E?

Correct option is A

Given: 

D is four times the age of C.  $$D = 4C$$​

A is two times the age of C.  $$A = 2C$$​

D is five times the age of B.  $$D = 5B$$​

E is thrice the age of A: $$E = 3A$$​​

The age of B is 12. $$B = 12$$​

Solution: 

 The age of D 

$$D = 5 B$$  and $$B = 12$$ 

$$D = 5 \times 12 = 60$$ 

The age of C 

$$D = 60$$ 

$$D = 4C$$ 

$$C = \frac{60}{4}$$ 

$$C = 15$$ 

The age  of A 

$$A = 2C , C = 15$$​

$$A = 2 \times 15$$  , $$A = 30$$​

The age of E 

$$E = 3A$$ $$A = 30$$​

$$E = 90$$ 

The age of E is 90 years