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06 Jul 2020, 05:05
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
70% (02:13) correct
30%
(02:47)
wrong
based on 569
sessions
History
Date
Time
Result
Not Attempted Yet
If \(\frac{4x-32}{4-x}+\frac{2}{x-3}=\frac{1-x}{3-x}\) what is the value of x ?
A. 6.2
B. 6.5
C. 7
D. 7.2
E. 7.5
A. 6.2
B. 6.5
C. 7
D. 7.2
E. 7.5
yashikaaggarwal
Senior Moderator - Masters Forum
Joined: 19 Jan 2020
Last visit: 29 Mar 2026
Posts: 3,089
Given Kudos: 1,510
Location: India
Schools: Cranfield (A) Warwick MiM "23 (M)
GPA: 4
WE:Analyst (Internet and New Media)
06 Jul 2020, 05:10
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Bookmarks
4x-32/4-x + 2/x-3 = 1-x/3-x
Or,
4x-32/4-x - 2/3-x = 1-x/3-x
4x-32/4-x = 1-x/3-x + 2/3-x
4x-32/4-x = 1-x+2/3-x
4x-32/4-x = 3-x/3-x
4x-32/4-x = 1
4x-32 = 4-x
5x = 36
X = 7.2
Answer should be D
Posted from my mobile device
Or,
4x-32/4-x - 2/3-x = 1-x/3-x
4x-32/4-x = 1-x/3-x + 2/3-x
4x-32/4-x = 1-x+2/3-x
4x-32/4-x = 3-x/3-x
4x-32/4-x = 1
4x-32 = 4-x
5x = 36
X = 7.2
Answer should be D
Posted from my mobile device
06 Jul 2020, 05:29
Kudos
Bookmarks
Bunuel
\(\frac{4x-32}{4-x}+\frac{2}{x-3}=\frac{1-x}{3-x}\)
\(\frac{4x-32}{4-x}-\frac{2}{3-x}=\frac{1-x}{3-x}\)
\(\frac{4x-32}{4-x}=\frac{1-x}{3-x}+\frac{2}{3-x}\)
\(\frac{4x-32}{4-x}=\frac{1-x+2}{3-x}\)
\(\frac{4x-32}{4-x}=\frac{3-x}{3-x}=1\)
\(4x-32=4-x\)
\(5x=36\)
\(x=7.2\)
Hence, OA is (D).
