Question

205×2=(200+?)×? Заполни пустые клетки.

Answer 1

205 × 2 = (200 + 5) × 2 

Answer 2

205 x 2 = (200 + ?) x ?

To find the missing values, we can use algebraic expressions. Let's assume that the first missing value is "a" and the second missing value is "b".

So we have:

205 x 2 = (200 + a) x b

Now, we need to solve for "a" and "b".

First, let's simplify the left-hand side of the equation:

205 x 2 = 410

Next, let's simplify the right-hand side of the equation:

(200 + a) x b = 200b + ab

Now, we can set the two sides of the equation equal to each other:

410 = 200b + ab

We can simplify this equation by factoring out b:

410 = b(200 + a)

Dividing both sides by (200+a), we get:

b = 410 / (200 + a)

We can substitute this value of b back into the original equation to solve for "a":

205 x 2 = (200 + a) x (410 / (200 + a))

410 = 410 + 205a / (200 + a)

Multiplying both sides by (200 + a), we get:

82000 + 410a = 410 + 205a

205a = 81590

a = 398

Therefore, the missing values are:

a = 398 b = 410 / (200 + a) = 410 / (200 + 398) = 1