Which one number will come in place of both question marks to correct the…
2016
Which one number will come in place of both question marks to correct the following expression?
?/7 × ?/12 = 3/7
- A.
6
- B.
3
- C.
12
- D.
9
Attempted by 2 students.
Show answer & explanation
Correct answer: A
1. Let the unknown number in place of both question marks be x. The equation becomes: (x / 7) * (x / 12) = 3 / 7. 2. Multiply the fractions on the left side: x² / (7 * 12) = 3 / 7. 3. Isolate x² by multiplying both sides by (7 * 12): x² = (3 / 7) * 7 * 12, which simplifies to x² = 3 * 12 = 36. Taking the square root gives x = 6. Final Answer: Option A