Question

There are two numbers such that the difference between them is 13 and the difference between their squares is 273. Find the two numbers using a suitable identity​

Answer 1

Answer:

Correct option is C)

Let one number be x

Then other number =18−x

Given (18−x)

2

−x

2

=108

⇒324−36x+x

2

−x

2

=108

⇒36x=324−108=216

⇒x=

36

216

=6

∴ The difference between the two numbers

=18−x−x

=18−2x=18−2×6

=18−12=6

Step-by-step explanation:

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