Question

The sum of the ages of A and B is 60 years
and 10 years hence A will be three times as
old as B. Find their present ages
(a) 65,20
o 50, 10
(C) 60, 20 (d) 70,20​

Answer 1

Answer:

let the present ages of A and B be x , y respectively .

x + y = 60. (1)

according to second condition

(x+10) = 3(y+10)

x+10 = 3y + 30

x - 3y = 20. (2)

multiplying eq (1) by 3

3x + 3y = 180. (3)

adding eq (2) & (3)

x - 3y = 20

+ 3x + 3y = 180

4x = 200

x = 50

substituting value of x in eq (1)

x + y = 60

50 + y = 60

y =10