Pair of Linear Equations in Two Variables
CH03 Question Bank
CBSE_CH03_QUESTION_BANK
Grade 10
Question:
The sum of two numbers is $8$ and their difference is $2$. Find the two numbers.
Step-by-Step Solution
Key Concept: Form a pair of linear equations and solve by elimination.
Let the numbers be $x,y$ with $x+y=8$ and $x-y=2$. Adding: $2x=10\Rightarrow x=5$. [1.0 Mark]
$y=8-5=3$. So the numbers are $5$ and $3$. [1.0 Mark]
Correct Answer:
Confused by the solution? Ask the AI to explain a specific step, tell you where you went wrong, or break down the key trap in this question.