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A student was asked to multiply a number by \(\frac{3}{2}\) but he divided that number by \(\frac{3}{2}\). His result was 10 less than the correct answer. The number was:1. 202. 153. 124. 10 |
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Answer» Correct Answer - Option 3 : 12 Given: Multiply by a number = 3/2. But he divide the number = 3/2. Concept used: Using linear equation. Calculation: Let the number be 'x'. Number when multiply by 3/2 = (3x)/2 Number when divide by 3/2 = x/(3/2) = (2x)/3 According to the question, ((3x)/2) – ((2x)/3) = 10 ⇒ (9x – 4x)/6 = 10 ⇒ 5x = 60 ⇒ x = 12 ∴ The number was 12. |
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