An important and conceptual question from linear equations in two variables in which we have been asked to calculate the numbers if their difference is 43 and their sum is 137 by using the properties of linear equations
RS Aggarwal, Class 10, chapter 3E, question no 4
Given: Sum of two numbers is 37 and difference is 43
Let is consider, first number =x and
Second number =y
x+y=137...(1)
x−y=43...(2)
Adding both the equation, we get
2x=180
or x=90
On subtracting (2) from (1)
2y=94
y=47
So,
First number =90 and
Second number =47