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B
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Difficulty:
5%
(low)
Question Stats:
92% (01:39) correct
8%
(01:36)
wrong
based on 176
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If \(\frac{(a+b)}{(a-b)}=\frac{55}{17}\) then what is \(\frac{a}{b}\) ?
A) \(\frac{13}{17}\)
B) \(\frac{36}{19}\)
C) \(\frac{19}{7}\)
D) \(\frac{3}{2}\)
E) \(\frac{43}{17}\)
A) \(\frac{13}{17}\)
B) \(\frac{36}{19}\)
C) \(\frac{19}{7}\)
D) \(\frac{3}{2}\)
E) \(\frac{43}{17}\)
07 Dec 2014, 01:48
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\(\frac{(a+b)}{(a-b)}\)=\(\frac{55}{17}\)
dividing numerator and denominator of left hand side by b,we get
\(\frac{([fraction](a}{b)}+1)/(\frac{(a}{b)}-1)[/fraction]\)=\(\frac{55}{17}\)
let a/b be x we have
\(\frac{(x+1)}{(x-1)}\)=\(\frac{55}{17}\)
=> 17*(x+1) = 55*(x-1)
Solving this we get
x = 72/38
x = a/b = 72/38 = 36/19
So, Answer will be B
hope it helps!
dividing numerator and denominator of left hand side by b,we get
\(\frac{([fraction](a}{b)}+1)/(\frac{(a}{b)}-1)[/fraction]\)=\(\frac{55}{17}\)
let a/b be x we have
\(\frac{(x+1)}{(x-1)}\)=\(\frac{55}{17}\)
=> 17*(x+1) = 55*(x-1)
Solving this we get
x = 72/38
x = a/b = 72/38 = 36/19
So, Answer will be B
hope it helps!
kukr007
07 Dec 2014, 05:23
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kukr007
\(\frac{(a+b)}{(a-b)}=\frac{55}{17}\);
Cross-multiply: \(17a+17b=55a-55b\) --> \(38a=72b\) --> \(\frac{a}{b}=\frac{72}{38}=\frac{36}{19}\).
Answer: B.
