Question

Q. Solve the following word problem 1.The product of two consecutive natural number is 42. Find the numbers​

Answer 1

Answer:

Step-by-step explanation:

Let the two consecutive natural numbers be x and (x+1)

From the given condition,we have

x(x+1)=42

⇒x  

2

+x=42

⇒x  

2

+x−42=0

⇒x  

2

+7 x−6 x−42=0

⇒x(x+7)−6(x+7)=0

⇒(x−6)(x+7)=0

⇒x−6=0 or x+7=0

⇒x=6 or x=−7 [Since −7 is not a natural number]

So, x=6 and x+1=6+1=7.

Hence, the numbers are 6 and 7.

Answer 2

Answer:

6, 7

Step-by-step explanation:

Let the smaller number be x. Therefore the greater number will be x+1.

Product of the two numbers is 42:

• x(x+1)=42
• x²+x=42
• x²+x-42=0
• x²+7x-6x-42=0
• x(x+7)-6(x+7)=0
• (x-6)(x+7)=0
• x= 6 ,-7

Since we can not take a negative number, the numbers are 6 and 7.

Hope it helps...

Mark my answer as Brainliest plz...