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If a, b, c, d are positive real numbers ...

If a, b, c, d are positive real numbers such that `(a)/(3)=(a+b)/(4)=(a+b+c)/(5)=(a+b+c+d)/(6),"then"(a)/(b+2c+3d)` is-

A

1//2

B

1

C

2

D

Not determinable

Text Solution

Verified by Experts

The correct Answer is:
A
`(a)/(3)=(a+b)/(4)=(a+b+c)/(5)=(a+b+c+d)/(6)=k`
a=3k, b=k, c=k, d=k
Hence:- `(a)/(b+2c+3d)=(3k)/(k+2k+3k)=(1)/(2)`
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