Question

The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is?
- 3
- 5
- 7
- 11

Answer 1

Answer:

The difference is 7

Step-by-step explanation:

xy = 144 ⇒ 1

x + y = 25 ⇒2

( x + y )² = x² + 2xy + y²

⇒( 25 )² = x² + 2 ( 144 ) + y²

⇒625 = x² + y² + 288

⇒x² + y² = 625 - 288

⇒x² + y² = 337

( x - y )² = x + y - 2xy

⇒( x - y ) = 337 - 288

⇒( x - y )² = 49

⇒( x - y ) = √49 = 7