Question

(((А×3-19+10):9+86):3+41):2=36

Answer 1

Ответ:

Пошаговое объяснение:

(((А×3-19+10):9+86):3+41):2=36

(((3а-9):9+86):3+41):2=36

((3а-9):9+86):3+41=36*2

((3а-9):9+86):3+41=72

((3а-9):9+86):3=72-41

((3а-9):9+86):3=31

(3а-9):9+86=31*3

(3а-9):9+86=93

(3а-9):9=93-86

(3а-9):9=7

3а-9=7*9

3а-9=63

3а=63+9

3а=72

а=72:3

а=24

Answer 2

Let's solve the given expression step by step:

(((А×3-19+10):9+86):3+41):2=36

Step 1: Calculate the innermost parentheses. (A × 3 - 19 + 10) = (3A - 9)

The expression becomes: (((3A - 9) : 9 + 86) : 3 + 41) : 2 = 36

Step 2: Simplify further within the parentheses. (3A - 9) : 9 = (1/3)(3A - 9) = (A - 3)

The expression becomes: ((A - 3 + 86) : 3 + 41) : 2 = 36

Step 3: Simplify further within the parentheses. (A - 3 + 86) : 3 = (A + 83) : 3

The expression becomes: ((A + 83) : 3 + 41) : 2 = 36

Step 4: Simplify further within the parentheses. (A + 83) : 3 = (1/3)(A + 83) = (A + 83)/3

The expression becomes: ((A + 83)/3 + 41) : 2 = 36

Step 5: Simplify further within the parentheses. ((A + 83)/3 + 41) = (A + 83 + 3 * 41)/3 = (A + 83 + 123)/3 = (A + 206)/3

The expression becomes: ((A + 206)/3) : 2 = 36

Step 6: Simplify further within the parentheses. ((A + 206)/3) : 2 = ((A + 206)/3) * (1/2) = (A + 206)/6

The expression becomes: (A + 206)/6 = 36

Step 7: Multiply both sides of the equation by 6 to isolate A. A + 206 = 36 * 6 A + 206 = 216 A = 216 - 206 A = 10

Therefore, the value of A that satisfies the equation is 10.