The sum of two numbers is 74 and their product is 1368. The numbers are :
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Question
The sum of two numbers is 75 and their product is 1368. The numbers are
Answer:
42 and 33
Step-by-step explanation:
Let the numbers be x and 75-x
According to the question
(x) × (75-x)=1386
⇒75x-x²=1386
⇒x²-75x+1386=0
⇒x²-42x-33x+1386=0
⇒x(x-42)-33(x-42)=0
⇒(x-42)(x-33)=0
⇒x=42,33
When x= 42 then other number=75-x=33
x= 33 then other number=75-x=42
So the numbers are 33 and 42
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