Question
The product of 2 consecutive natural numbers is 72. Find the numbers.
Answer: Option A
:
A
Let the smaller numberbex. Then thelarger numberisx+1.
Their product is x(x+1).
⇒ x(x+1)=72
⇒ x2+x−72=0
⇒ x2+9x−8x−72=0
⇒ x(x+9)−8(x+9)=0
⇒ (x−8)(x+9)=0
⇒ x=8orx=−9
Since the given numbers are natural numbers, we get x=8
Hence the two consecutive natural numbers are 8 and 9.
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:
A
Let the smaller numberbex. Then thelarger numberisx+1.
Their product is x(x+1).
⇒ x(x+1)=72
⇒ x2+x−72=0
⇒ x2+9x−8x−72=0
⇒ x(x+9)−8(x+9)=0
⇒ (x−8)(x+9)=0
⇒ x=8orx=−9
Since the given numbers are natural numbers, we get x=8
Hence the two consecutive natural numbers are 8 and 9.
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