Question Number 26153 by bbbbbb last updated on 21/Dec/17
$${ratio}\:{of}\:{income}\:{of}\:{two}\:{persons}\:{is} \\ $$$$\mathrm{9}\:{is}\:{to}\:\mathrm{7}.{ratio}\:{of}\:{their}\:{expenses} \\ $$$${is}\:\mathrm{4}\:{is}\:{to}\:\mathrm{3}\:.{every}\:{person}\:{saves}\: \\ $$$${rupees}\:\mathrm{200}.\:{find}\:{income}\:{of}\:{each}. \\ $$
Answered by ajfour last updated on 21/Dec/17
$$\mathrm{9}{x}−\mathrm{4}{y}=\mathrm{200} \\ $$$$\mathrm{7}{x}−\mathrm{3}{y}=\mathrm{200} \\ $$$$\Rightarrow\:\mathrm{2}{x}={y}\:\:\:\:\Rightarrow\:\:{x}=\mathrm{200} \\ $$$${income}\:{of}\:{first}=\mathrm{9}{x}\:=\mathrm{1800} \\ $$$${income}\:{of}\:{second}=\mathrm{7}{x}=\mathrm{1400}\:. \\ $$