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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 ?
Answer & Solution
Correct Answer:
Option
A
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
Then,
$$\frac{(x + 7) × 5}{9}$$ - 3 = 12
⇒ $$\frac{5x + 35}{9}$$ = 15
⇒ 5x + 35 = 135
⇒ 5x = 100
⇒ x = 20
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