Question
Download Solution PDF7 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?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
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.
Concept used:
Let the number be = x
7 is added to a certain number and the sum is multiplied by 5 ⇒ (x +7) × 5
The product is then divided by 3 and 4 is subtracted from the quotient and the result is 16 ⇒ \(5(x+7)\over 3\) - 4 = 16
Calculation:
\(5(x+7)\over 3\)- 4 = 16
⇒ 5(x + 7) - 12 = 16 × 3
⇒ 5x + 35 - 12 = 48
⇒ 5x + 23 = 48
x = 5
Hence, the original number is 5.
Last updated on Jul 10, 2025
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