MP Board · Class 8 · Mathematics · Linear Equations in One VariableTwo numbers are in the ratio $5:3$. If they differ by $18$, what are the numbers?
Step-by-Step Solution
Let the numbers be $5x$ and $3x$. $5x - 3x = 18 \implies 2x = 18 \implies x = 9$.\nNumbers are $5(9) = 45$ and $3(9) = 27$.
Detailed Options Breakdown
Option : 50 and 32
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Linear Equations in One Variable.
Option 1: 45 and 27 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: 40 and 22
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Linear Equations in One Variable.
Option 3: 35 and 17
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Linear Equations in One Variable.
💡 Study Guide: This question tests core syllabus concepts from Linear Equations in One Variable. For formulas, key summaries, and mock exam reference guides, read the full Linear Equations in One Variable Revision Notes.