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Question


Solve for x:
x+56x+19=x+34 


Options:
A .   27
B .   17
C .   7
D .   57
Answer: Option B
:
B

Given,
x+56x+19=x+34 


Multiplying both sides by 36 (LCM of 4, 6 and 9), we get,
(x+56×36)(x+19×36)=(x+34×36) 
6(x+5)4(x+1)=9(x+3)
6x+304x4=9x+27
2x+26=9x+27
Transposing 9x from RHS to LHS, and 26 from LHS to RHS, we get,
2x9x=2726
7x=1
Dividing both sides by -7, we get,
x=17



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