Question

One-third of a number when subtracted from double of itself is equal to 10. Find the number.

Answer 1

Given,

One-third of a number when subtracted from double of itself is equal to 10.

Solution,

Consider the number is x.

$\[2x - \frac{1}{3}x = 10\]$

$\[ \Rightarrow \frac{{6x - x}}{3} = 10\]$

$\[ \Rightarrow \frac{{5x}}{3} = 10\]$

$\[ \Rightarrow 5x = 30\]$

$\[ \Rightarrow x = 6\]$

Hence the number is 6.