Question

The product of two successive multiples of 10 is 1200. Then find this​

Answer 1

Answer:

12000

Step-by-step explanation:

Answer 2

Answer:

let the multiples be x and (x+10)

Product of multiples = x(x+10)

                                  = $x^{2}$+10x

$x^{2}$+10x = 1200

To convert the following to a perfect square, we take the square of half of 10

= $(10/2)^{2}$

= $5^{2}$

= 25

So the equation becomes = x² + 10x + 25 = 1200 + 25

                                           = (x+5)² = 1225

                                           = (x+5) = √1225

                                           = (x+5) = 35

Therefore x = 35-5

                   = 30

So the numbers are 30 and 40