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-

Question

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-

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

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - 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)`

4 views Answered 2023-02-05 15:29