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7 is added to a certain number; the sum is multiplied by 5 ; the product is divided by 9 and 3 is subtracted from the quotient. Thus, if the remainder left is 12, what was the original number ?

7 is added to a certain number; the sum is multiplied by 5 ; the product is divided by 9 and 3 is subtracted from the quotient. Thus, if the remainder left is 12, what was the original number ? Correct Answer 20

Let the original number be x.
Then,
$$\frac{(x + 7) × 5}{9}$$   - 3 = 12
⇒ $$\frac{5x + 35}{9}$$  = 15
⇒ 5x + 35 = 135
⇒ 5x = 100
⇒ x = 20

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