Sum of two numbers is $35$ and their difference is $13$. Find the numbers.
Step-by-Step Solution
Key Concept: $x + y = 35$ and $x - y = 13$. Add: $2x = 48 \Rightarrow x = 24, y = 11$.
Equations: $x + y = 35$ and $x - y = 13$. [1.0 Mark]
Add equations: $2x = 48 \Rightarrow x = 24$. [1.0 Mark]
$y = 35 - 24 = 11$. The numbers are $24$ and $11$. [1.0 Mark]
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🎯 Official CBSE Marking Scheme:
Forming system of equations: 1.0 Mark
Solving $x = 24$: 1.0 Mark
Solving $y = 11$: 1.0 Mark
Correct Answer: