Question

11 times some number minus 13/30 is equal to 10 times the same number plus 16/45. Find the number. The number satisfying the relation is:

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

11 times some number minus 13/30 is equal to 10 times the same number plus 16/45

Step 02:

We must analyze the problem to find the solution.

solve for x:

x = number

$11x\text{ - }\frac{13}{30}=10x+\frac{16}{45}$$\begin{gathered} 11x-10x\text{ = }\frac{16}{45}+\frac{13}{30} \\ \\ x\text{ = }\frac{480+585}{1350}=\frac{1065}{1350}=\frac{71}{90} \end{gathered}$

The answer is:

71 / 90