Question

4 Two numbers differ by 3 and their product is 504.
Find the numbers.​

Answer 1

Step-by-step explanation:

Difference between two numbers is 3

Let one number be x, other number will be x+3

Product of two numbers is 504

It implies that,

(x)(x+3)=504

⇒x² +3x−504=0

⇒x² −21x+24x−504=0

⇒x(x−21) +24(x−21)=0

⇒(x−21)(x+24)=0

⇒(x−21)=0or(x+24)=0

therefore x=21 or -24

The two numbers are 21 and 24

or -21 and - 24

Hope you are satisfied..

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