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Option 5 : 11 : 10
Let us consider the present age of A, B, C and D as A years, B years, C years and D years respectively.
given, A = 4B + B
⇒ A = 5B
Also, B = 2C/3
⇒ C = 3B/2
And, D = 2C + C
⇒ D = 3C
Replacing C in terms of B we get,
D = 9B/2
And, A - C = 21
⇒ 5B - 3B/2 = 21
⇒ B = 6 years
⇒ A = 30 years
⇒ C = 9 years and D = 27 years
∴ the ratio of age of A and D, 3 years from now = 30 + 3 : 27 + 3 = 11 : 10
Hence (e) is the correct option.
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