This is the basic and conceptual question from linear equations in two variables in which we have to calculate the numbers if their sum is 80 and larger number exceeds four times the smaller number by 5.

Kindly solve the above problem by using the properties of linear equations

RS Aggarwal, Class 10, chapter 3F, question no 9

Given, sum of two numbers is 80.

Let the smaller number be x

Thus the larger will be 80−x.

Also given, larger number exceeds four times the smaller number by 5.

Therefore, 80−x=4x+5

⇒5x=75

⇒x=15

Thus the smaller number is 15.