Question

1. The sum of the ages of C and D is 52 years.
The age of C two years ago is equal to the age of
A eight years hence. The age of C three years hence
is equal to the age of D one year ago. The ratio of
the present ages A and B is 7: 10: The sum of the
ages of A and B is
years. The age of D.
two years hence will be
years. Which of the
following options satisfy the blanks respectively?
A vers 32 vears​

Answer 1

Step-by-step explanation:

C + D = 52 ...(1)

C - 2 = A + 8 ...(2)

C + 3 = D - 1 ...(3)

A:B = 7:10 ...(4)

A + B =?

D + 2 = ?

Eqn (1) and (3) imply,

C = 24, D = 28

Substituting C in eqn (2),

A = 14

Substituting A in eqn (4),

A/B = 7/10

14/B = 7/10

B = 20

Hence,

A + B = 34

A + B = 34D + 2 = 30