Question

(60×x)×32=160и24×(x×82)=4848

Answer 1

60x * 32 = 160

60x = 5

x = $\frac{1}{12}$

24 * 82x = 4848

82x = 202

x= $\frac{101}{41}$ = $2\frac{19}{41}$

Answer 2

To solve the equations, let's work on them one by one:

Equation 1: (60 × x) × 32 = 160

We can simplify this equation step by step:

1. Distribute the multiplication: 60 × 32 × x = 160
2. Perform the multiplication: 1920 × x = 160
3. Divide both sides by 1920: (1920 × x) / 1920 = 160 / 1920
4. Simplify: x = 160 / 1920
5. Simplify further: x = 1 / 12

So the solution to the first equation is x = 1/12.

Equation 2: 24 × (x × 82) = 4848

Again, let's simplify this equation step by step:

1. Distribute the multiplication: 24 × x × 82 = 4848
2. Perform the multiplication: 1968 × x = 4848
3. Divide both sides by 1968: (1968 × x) / 1968 = 4848 / 1968
4. Simplify: x = 4848 / 1968

To find the exact value of x, we can simplify the fraction:

x = 2424 / 984

However, this fraction cannot be simplified further, so the exact value of x in the second equation is x = 2424 / 984.

Please note that both x values are approximate decimal values. If you need a decimal approximation for these values, you can use a calculator or divide the numerator by the denominator.