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?
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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
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