Question

The difference between squares of two numbers is 120. The square of smaller

number is twice the greater number. Find the numbers.

Answer 1

Heya !!!!

Answer Of Your Question☺️

Let

the numbers ,

x and y

where x>y so,

x^2 - y^2 = 120.....(1)

y^2 = 2 x.....(2)

Putting (2) in (1), we get

x^2 - 2x = 120

x^2 - 2x - 120 = 0

x^2 - 12x + 10x - 120 = 0

x(x -12) +10(x - 12) = 0

(x-12)(x+10) = 0

so, x cant take value of -10

So x = 12, so y^2 = 2 (12)

y^2 = 24

So y = √24 or - √24

y = 2√6 or -2√6

Answer Is

= 12 and 2√6

or, 12 and -2√6


Hope My Answer Helped