Question

the difference of the two numbers is 2 and their product is 120

Answer 1

the difference of the two numbers is 2 and their product is 120 is 10 and 12....

Answer 2

Let the first number be a

Second number = a - 2

According to question,

a × (a - 2) = 120

=> a^2 - 2a - 120 = 0

=> a^2 - 12a + 10a - 120 = 0

=> a (a - 12) + 10(a - 12) = 0

=> (a-12) (a +10) = 0

a = 12 and - 10
_________________

When a = 12

First number = 12

Second number = 10
_________________

When a = - 10

First number = - 10

Second number = - 12