Question

the product of two coprime numbers is 120 .which of them is a two digit number​

Answer 1

Step-by-step explanation:

two coprime number are 10 and 12.

Answer 2

The two digit of two coprime numbers are 10 and 12.

Step-by-step explanation:

Let the two digit of two coprime numbers = x and (x + 2)

Given,

The product of two coprime numbers = 120

To find, the two digit of two coprime numbers = ?

According to question,

$x(x+2)=120$

⇒ $x^2+2x=120$

⇒ $x^2+2x-120=0$

⇒ $x^2+12x-10x-120=0$

⇒ $x(x+12)-10(x+12)=0$

⇒ $(x+12)(x-10)=0$

⇒ x + 12 = 0 or, x - 10 = 10

⇒ x = 10 (Since, negative sign leglected)

∴ x + 2 = 10 + 2 = 12

Hence, the two digit of two coprime numbers are 10 and 12.