Question

if the compound ratio of 7:5and8:x is 84:60 then find the value of x​

Answer 1

SoluTion :-

The compound ratio for the ratios a : b and c : d is ac : bd.

$\sf {7\times8:5\times x=84:60}\\\\\\\\\sf{\Rightarrow 56:5x=84:60}\\\\\\\sf{\Rightarrow \dfrac{56}{5x}=\dfrac{84}{60}}\\\\\\\\\sf{\Rightarrow \dfrac{56}{x}=\dfrac{84}{12}}\\\\\\\\\sf {\Rightarrow \dfrac{56}{x}=7}\\\\\\\\\sf {\Rightarrow x=\dfrac{56}{7}}\\\\\\\sf {\Rightarrow x=8}$