Question

The difference of two numbers is 5 and the difference of their square is 65. Find both the numbers

Answer 1

Step-by-step explanation:

Difference between two numbers is 5.

Let larger number be x

∴ Other smaller number =x−5

Also given that the difference between there squares is 65

∴(x)

2

−(x−5)

2

=65

⇒x

2

[x

2

+25−10x]=65

⇒x

2

−x

2

−25+10x=65

⇒10x=90

∴x=9

∴ Larger number =x=9