Question

the difference between squares of two number is 120 the square of smaller is twice the greater number find the number​

Answer 1

Answer:

Say we have two numbers a&b such that a>b

Given that,

a

2

−b

2

=120−(1)

b

2

=2a−(2)

Substituting (2) in (1) we get

a

2

−2a−120=0

⇒a

2

−12a+10a−120=0

⇒a(a−12)+10(a−12)=0

⇒(a+10)(a−12)=0

∴a=12

b=

2×12

=2

6