Question

ratio of A'S and B's age is 3:4 and Band C's is 5:6 respectively. If the average of B and C is 11 then find what will be A's age after 6 years from now?​

Answer 1

Answer:

Let x be the ratio of their present ages, then

A's present age=5x

B's present age=4x

Let y be the ratio of their ages 16 years ago, then

A's age 16 years ago=27y

B's age 16 years ago=20y

According to question,

5x-27y=16…(1)

4x-20y=16…(2)

On multiplying (1) by4 &(2) by 5

20x-108y=64

20x-100y=80

On subtracting we get,

-8y=-16

y=2

Now 4x-20×2=16

4x-40=16

4x=56

x =14 then

A's present age=70years

B's present age=56years