Question : 7 is added to a certain number and the sum is multiplied by 5. The product is then divided by 3 and 4 is subtracted from the quotient. If the result comes to 16, then what is the original number?
Option 1: 3
Option 2: 1
Option 3: 5
Option 4: 4
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Correct Answer: 5
Solution :
Let $x$ be the original number.
According to the question,
$\frac{(x+7)×5}{3}$ – 4 = 16
⇒ $\frac{(x+7)×5}{3}$ = 16 + 4 = 20
⇒ ($x$ + 7) × 5 = 20 × 3 = 60
⇒ $x$ + 7 = $\frac{60}{5}$ = 12
⇒ $x$ = 12 – 7 = 5
Hence, the correct answer is 5.
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