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2 years ago

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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 so

lution to the equation? x = 48.125 x = 52.5 x = 60.125 x = 77

2 answers:

Yanka [14]2 years ago

5 0

Thanks for posting your question here. The answer to the above problem is x = <span>48.125. Below is the solution:
</span>
x+x/7+1/11(x+x/7)=60
x = x/1 = x • 7/7
x <span>• 7 + x/ 7 = 8x/7 - 60 = 0
</span>x + x/7 + 1/11 <span>• 8x/7 - 60 = 0
</span>8x <span>• 11 + 8x/ 77 = 96x/ 77
</span>96x - 4620 = 12 <span>• (8x-385)
</span>8x - 385 = 0
x = 48.125

mart [117]2 years ago

3 0

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.

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