Question

(420 : X + 2) : 8 = 9

Answer 1

(420/х+2)/8=9
(420/х*1/8)+2/8=9
420/8х=72/8-2/8
420/8х=70/8
8х=(420/1)*(8/70)
8х=6*8
8х=48
х=48/8
х=6

Answer 2

To solve the equation, we need to find the value of "X." Let's work through the steps:

Step 1: Simplify the expression on the left-hand side of the equation: (420 : (X + 2)) : 8 = 9

Step 2: Simplify the inner expression inside the parentheses: (420 / (X + 2)) : 8 = 9

Step 3: Remove the outermost parentheses by dividing 420 by (X + 2): 420 / (X + 2) = 9 * 8

Step 4: Simplify the right-hand side: 420 / (X + 2) = 72

Step 5: To solve for X, isolate it on one side of the equation. We can do this by multiplying both sides of the equation by (X + 2): (X + 2) * (420 / (X + 2)) = 72 * (X + 2)

Step 6: Cancel out (X + 2) on the left-hand side: 420 = 72 * (X + 2)

Step 7: Distribute 72 on the right-hand side: 420 = 72X + 144

Step 8: Move 144 to the left-hand side by subtracting it from both sides: 420 - 144 = 72X

Step 9: Simplify the left-hand side: 276 = 72X

Step 10: Solve for X by dividing both sides by 72: X = 276 / 72 X ≈ 3.8333 (rounded to four decimal places)

So, the value of X that satisfies the equation is approximately 3.8333.