Latest Others Aptitude Question SOLUTION: a,b,c are in continued proportion; b,c,d are also in continued proportion; if b:c = 2:3 and all the four numbers are positive integers, what is the minimum possible value of (a+d)?

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(#M40007773) OTHERS question Keep an EYE

a,b,c are in continued proportion; b,c,d are also in continued proportion; if b:c = 2:3 and all
the four numbers are positive integers, what is the minimum possible value of (a+d)?

Asked In Others Sukham (12 years ago)

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MP   (12 years ago)

a+d = 35

a=8 and d=27

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Rakesh Kumar Kohli  (12 years ago)

Ans. Minimal possible value of (a+d) is 35

Solution.
a,b,c,d are in continued proportion, so
a/b = b/c = c/d = 2/3
=> a = (2/3)*b , b = (2/3)*c , c = (2/3)*d
=> a = (2/3)*(2/3)*(2/3)*d = (8/27)*d
=> d = (27/8)*a
As all the four numbers are positive integers, so
minimal values of a = 8 giving d = 27
Hence a + d = 35

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Sukham  (12 years ago)

35 is correct answer.

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