Question : If $\frac{2 x+3}{18 \div 3 \times 4+2}=\frac{12 \times 3+5}{2 \times 4 \div 2}$, then what is the value of $x$?
Option 1: 132.25
Option 2: 131.75
Option 3: 134.35
Option 4: 120.5
Correct Answer: 131.75
Solution :
Given: $\frac{2 x+3}{18 \div 3 \times 4+2}=\frac{12 \times 3+5}{2 \times 4 \div 2}$
⇒ $\frac{2 x+3}{\frac{18}{3} \times 4+2}=\frac{12 \times 3+5}{2 \times \frac{4}{2}}$
⇒ $\frac{2 x+3}{24+2}=\frac{36+5}{4}$
⇒ $\frac{2 x+3}{26}=\frac{41}{4}$
⇒ $8 x+12=1066$
⇒ $8x=1066-12$
⇒ $8x=1054$
⇒ $x=131.75$
Hence, the correct answer is 131.75.
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