Question

the product of two consecutive even numbers is 12 more than the square of the smaller number.Find the number

Answer 1

Answer:

the 2 consecutive even numbers are 6,8

Step-by-step explanation:

let 2n and 2n+2 be the 2 consecutive even numbers.

given, 2n(2n+2) = (2n)² + 12

=> 4n²+4n = 4n²+12

=> 4n=12

=> n=12/4

=> n=3

so, the 2 consecutive even numbers are 2(3), 2(3)+2

=> 6,6+2

=> 6,8

Verification.

product of the 2 no.s = 6*8 = 48

square of smaller number = 6² = 36

condition is  product = square +12

=> 48 = 36+12

=> 48 = 48

verified

Answer 2

Answer:

The two numbers are 6 and 8 (meaning the number is 6). This is because the product of 6 and 8 is 48 and 6 squared plus 12 is equivalent to 48.

Very valid question, thank you for asking! Have a great day-