Question

Problem number 26 of the Rhind Papyrus says: Find a quantity such that when it is added to of itself the result is a 15. The modern day equation that models this problem is x + x = 15.

Answer 1

x+x=15 combine like terms on left side

2x=15 divide both sides by 2

x=7.5

Answer 2

Answer: The required quantity is 7.5.

Step-by-step explanation: We are given to solve the following problem by Rhind Papyrus :

To find a quantity such that when it is added to itself, the result is a 15.

Let x represents the required quantity. Then, the modern day equation that models this problem will be

`x+x=15~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

The solution of equation (i) is as follows :

`x+x=15\\\\\Rightarrow 2x=15\\\\\Rightarrow x=(15)/(2)\\\\\Rightarrow x=7.5.`

Thus, the required quantity is 7.5.