This is the basic and conceptual question from linear equations in two variables in which we have been asked to find the numbers if their difference is 5 and their difference between squares is 65.
Kindly solve the above problem by using the properties of linear equations.
RS Aggarwal, Class 10, chapter 3F, question no 7
Let x be the first number and y be second number.
x−y=5
x2−y2=65
(x−y)(x+y)=65....(2)
Now, by dividing (2) by (1) we get:
x+y=13...(3)
On adding (1) and (3) we get
2x=18
or x=9
From (3):9+y=13
Or y=4
Two numbers are 4 and 9.