1. If twice the product of two conccutive
positive numbers is 24, the find the numbers
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0
Answer:
Let the two consecutive natural numbers be x and (x+1)
From the given condition, we have
x(x+1)=72
⇒x
2
+x=72
⇒x
2
+x−72=0
⇒x
2
+9x−8x−72=0
⇒x(x+9)−8(x+9)=0
⇒(x−8)(x+9)=0
⇒x−8=0 or x+9=0
⇒x=8 or x=−9
∵−9 is not a natural number.
So, x=8 and x+1=8+1=9.
Hence, the numbers are 8 and 9.
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