9 added to the product of two consecutive multiples of 6 gives 729 What is the answer Question 9 added to the product of two consecutive multiples of 6 gives 729 What is the answer in progress 0 Math Sadie 1 month 2021-08-16T05:24:57+00:00 2021-08-16T05:24:57+00:00 2 Answers 0 views 0

## Answers ( )

Answer:812

Step-by-step explanation:please mark the brain list and follow me

Letthe2consecutivemultiplesof6be(6x)and(6x+6)9 + [(6x)(6x +6)] = 729

→ 9 + 36x² + 36x = 729

Dividing by 9 on both sides,

1 + 4x² + 4x = 81

→ 4x² + 4x = 80

Dividing by 4 on both sides,

→ x² + x = 20

→ x² + x -20 = 0

→ x² + 5x – 4x – 20 = 0

→ x(x + 5) – 4(x +5) = 0

→ (x – 4)(x + 5) = 0

→

x = 4 or -5Ignoring the negative sign,

## x = 4

Now, the 2 consecutive multiples are

6x = 6 × 4 = 24

6x + 6 = 24 + 6 = 30

## ∴ The consecutive numbers are

24and30