Question

Изменить решетку цифрами так чтобы умножение было правильным1).## * #=4832).## * #=385

Answer 1

1) 163×3=483
2) 77×5=385
надеюсь я помогла тебе
я проверила это правильно!

Answer 2

To solve the given equation and find the values of the digits represented by the hashtags (#), we need to perform multiplication operations. Let's break down the equation and solve it step by step.

Step 1: Breaking down the equation

The given equation is: 1). ## * # + # = 483 2). ## * # + # = 385

We need to find the values of the digits represented by the hashtags (#) in both equations.

Step 2: Solving the first equation

Let's solve the first equation: ## * # + # = 483

To find the value of the first hashtag (##), we can divide 483 by the value of the second hashtag (#) and subtract the value of the second hashtag from the result. Let's denote the value of the second hashtag as x.

The equation becomes: ## * x + x = 483

Simplifying the equation, we get: 2x^2 + x = 483

To solve this quadratic equation, we can use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 2, b = 1, and c = -483.

Plugging in the values, we get: x = (-1 ± √(1^2 - 4 * 2 * -483)) / (2 * 2) x = (-1 ± √(1 + 3864)) / 4 x = (-1 ± √3865) / 4

Calculating the square root of 3865, we get: √3865 ≈ 62.17

Substituting the value of x, we have two possible solutions: x = (-1 + 62.17) / 4 ≈ 15.04 x = (-1 - 62.17) / 4 ≈ -15.29

Since we are dealing with digits, we can discard the negative solution. Therefore, the value of the second hashtag (#) in the first equation is approximately 15.

Now, let's substitute the value of the second hashtag (#) into the equation to find the value of the first hashtag (##): ## * 15 + 15 = 483

Simplifying the equation, we get: 15## + 15 = 483

To isolate the first hashtag (##), we subtract 15 from both sides of the equation: 15## = 483 - 15 15## = 468

Dividing both sides of the equation by 15, we find: ## = 468 / 15 ## ≈ 31.2

Since we are dealing with digits, we can round down to the nearest whole number. Therefore, the value of the first hashtag (##) in the first equation is approximately 31.

So, the solution to the first equation is: ## = 31 # = 15

Step 3: Solving the second equation

Let's solve the second equation: ## * # + # = 385

Using the same approach as before, we can find the value of the second hashtag (#) by dividing 385 by the value of the first hashtag (##) and subtracting the value of the first hashtag from the result. Let's denote the value of the first hashtag as y.

The equation becomes: y * # + # = 385

Simplifying the equation, we get: y# + # = 385

To isolate the second hashtag (#), we can factor out # from both terms: (#)(y + 1) = 385

Since 385 is not divisible by any single-digit number other than 1, the value of the second hashtag (#) must be 1.

Now, let's substitute the value of the second hashtag (#) into the equation to find the value of the first hashtag (##): ## * 1 + 1 = 385

Simplifying the equation, we get: 1## + 1 = 385

To isolate the first hashtag (##), we subtract 1 from both sides of the equation: 1## = 385 - 1 1## = 384

Dividing both sides of the equation by 1, we find: ## = 384 / 1 ## = 384

So, the solution to the second equation is: ## = 384 # = 1

Summary:

The solutions to the given equations are: 1). ## = 31, # = 15 2). ## = 384, # = 1

Please note that the solutions are approximate values obtained through the calculations described above.