Question

two numbers differ by 3 and their product is 504 . find the numbers

Answer 1

let the no. be x then other 2 no. x-3

Answer 2

x( x - 3 ) = 504

x² - 3x - 504 = 0

x² - 24x + 21x - 24 × 21 = 0

x( x - 24 ) + 21( x - 24 ) = 0

( x - 24 ) ( x + 21 ) = 0

Therefore ,

x - 24 = 0 or x + 21 = 0

x = 24 or x = - 21