Question

6. The product of two consecutive number is greater than the square of the smaller by 30. Find the number.​

Answer 1

Answer:

15 And 16

Step-by-step explanation:

Let the two consecutive numbers be x and x+1.

given, x(x+2)=x^2+30

x^2+2x=x^2+30

2x=30

x=15

therefore , the consecutive numbers are 15 and 16.

Answer 2

Answer:

Let the first consecutive Number = x

Then,

Second consecutive Number = x + 1

According to question,

x(x + 1) = x² + 30

x² + x = x² + 30

x = 30

⇒x + 1 = 31

Hence The Two Consecutive Numbers Are 30 and 31

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