CBSE · Class 8 · Mathematics · Linear Equations in One VariablePresent ages of Anu and Raj are in the ratio 4:5. Eight years from now the ratio of their ages will be 5:6. Find Anu's present age.
Step-by-Step Solution
Let present ages be $4x$ and $5x$.\nAfter 8 years, $\frac{4x + 8}{5x + 8} = \frac{5}{6}$ $6(4x + 8) = 5(5x + 8) \implies 24x + 48 = 25x + 40 \implies x = 8$.\nAnu's age = $4(8) = 32$ years.
Detailed Options Breakdown
Option : 32 years (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: 40 years
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Linear Equations in One Variable.
Option 2: 24 years
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Linear Equations in One Variable.
Option 3: 16 years
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.