Question

On babylonian tablet ybc 4652, a problem is given that translates to this equation: x (x/7) (1/11) (x (x/7)) = 60 what is the solution to the equation? x = 48.125 x = 52.5 x = 60.125 x = 77

Answer 1

Thanks for posting your question here. The answer to the above problem is x = 48.125. Below is the solution:

 x+x/7+1/11(x+x/7)=60 
x = x/1 = x • 7/7
x • 7 + x/ 7 = 8x/7 - 60 = 0
x + x/7 + 1/11 • 8x/7 - 60 = 0
8x • 11 + 8x/ 77 = 96x/ 77
96x - 4620 = 12 • (8x-385)
8x - 385 = 0
x = 48.125

Answer 2

Answer:

Option (a) is correct.

x = 48.125

Step-by-step explanation:

Given:  $x+\frac{x}{7}+ \frac{1}{11}(x+\frac{x}{7})=60$

We have to solve for x,

Consider the given expression $x+\frac{x}{7}+ \frac{1}{11}(x+\frac{x}{7})=60$

First solving for brackets, we get,

$x+\frac{x}{7}=\frac{7x+x}{7}=\frac{8x}{7}$

Put , we get,

$x+\frac{x}{7}+ \frac{1}{11}(\frac{8x}{7})=60$

Simplify, we have,

$x+\frac{x}{7}+(\frac{8x}{77})=60$

Taking LCM(7,77) = 77

We have,

$\frac{77x+11x+8x}{77}=60$

Simplify, we have,

$\frac{96x}{77}=60$

Multiply both side by 77, we have,

$96x = 60 \times 77$

$96x =4620$

Divide both side by 96, we have,

$x=\frac{4620}{96}=48.125$

Thus, x = 48.125

Option (a) is correct.