Question

8. The sum of the ages of A and B is four-thirds the
age of C. The age of B is two-thirds the age of C.
If the sum of the ages of the three persons is
35 years, find the age of B.
(A) 20 years
* (B) 10 years
(C) 18 years
(D) 15 years
​

Answer 1

Answer:

(B)

Step-by-step explanation:

Given,

A + B = 4C/3 - - - - - - > (1)

B = 2C/3 - - - - - - - - - >(2)

A + B + C = 35 - - - - ->(3)

Substitute (2) in (1) :

then, A = (4C/3) - (2C/3) == > 2C/3 - - - - - >(4)

Substitute (4) and (2) in (3) :

Then, 2C/3 + 2C/3 + C = 35

C = 105/7 = 15 Substitute in (2)

B = 2 X 15/3 === > 10

HENCE THE AGE OF B IS 10 YEARS.