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

Option (a) is correct.

x = 48.125

Explanation:

Given:
`x+(x)/(7)+ (1)/(11)(x+(x)/(7))=60`

We have to solve for x,

Consider the given expression
`x+(x)/(7)+ (1)/(11)(x+(x)/(7))=60`

First solving for brackets, we get,

`x+(x)/(7)=(7x+x)/(7)=(8x)/(7)`

Put , we get,

`x+(x)/(7)+ (1)/(11)((8x)/(7))=60`

Simplify, we have,

`x+(x)/(7)+((8x)/(77))=60`

Taking LCM(7,77) = 77

We have,

`(77x+11x+8x)/(77)=60`

Simplify, we have,

`(96x)/(77)=60`

Multiply both side by 77, we have,

`96x = 60 * 77`

`96x =4620`

Divide both side by 96, we have,

`x=(4620)/(96)=48.125`

Thus, x = 48.125

Option (a) is correct.

Answer 2

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