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Pair of Linear Equations in Two Variables

CH03 Question Bank

CBSE_CH03_QUESTION_BANK

Grade 10

Question:

The sum of two numbers is $10$ and their difference is $4$. The two numbers are:

$7$ and $3$
$8$ and $2$
$6$ and $4$
$9$ and $1$

Step-by-Step Solution

Key Concept: Let the numbers be $x,y$; solve $x+y=10$ and $x-y=4$ by elimination.

Adding: $2x=14\Rightarrow x=7$; then $y=10-7=3$. [1.0 Mark]

Correct Answer: $7$ and $3$

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