Question

find the number which when subtracted from the terms of the ratio 19:23 makes it equal to the ratio 2:3​

Answer 1

Given,

Initial ratio $\[ = \frac{{19}}{{23}}\]$

Ratio after subtraction $\[ = \frac{2}{3}\]$

Solution,

Consider the number x is subtracted to get the desired ratio.

$\[\begin{array}{l}\frac{{19 - x}}{{23 - x}} = \frac{2}{3}\\ \Rightarrow 57 - 3x = 46 - 2x\\ \Rightarrow x = 11\end{array}\]$

Hence the number is 11.