Question

Укажите, при каком значении a и b верно равенство a/84=9/b=3/4.1) a= 63; b=12 2) a= 12; b= 633) a= 21; b= 4 4) a= 12; b= 24

Answer 1

(1) потому что везде будет равно 0,75

Answer 2

To find the values of "a" and "b" that satisfy the equation a/84 = 9/b = 3/4, we can set up the following equations:

1. a/84 = 9/b
2. a/84 = 3/4

We can solve the equations one by one.

1. a/84 = 9/b

Cross-multiply: a * b = 84 * 9 a * b = 756

Now, let's check each option provided:

1. a = 63; b = 12 63 * 12 = 756 ✅

2. a = 12; b = 63 12 * 63 = 756 ✅

3. a = 21; b = 4 21 * 4 = 84 ❌ (Not equal to 756)

4. a = 12; b = 24 12 * 24 = 288 ❌ (Not equal to 756)

Option 1) and Option 2) satisfy the first equation. Now, let's check the second equation.

2. a/84 = 3/4

Cross-multiply: 4 * a = 3 * 84 4 * a = 252 a = 252 / 4 a = 63

Now, we'll check if this value of "a" is consistent with the options:

1. a = 63; b = 12 ✅ (Matches Option 1)
2. a = 12; b = 63 ❌ (Not matching the value of "a" found)

Since Option 1) satisfies both equations, the correct answer is:

1. a = 63; b = 12