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