Makakuha ng maliwanag na mga sagot sa iyong mga tanong sa IDNStudy.com. Makakuha ng mabilis at eksaktong sagot sa iyong mga tanong mula sa aming mga eksperto na laging handang tumulong.

A number is divided into two parts such that one part is 10 more then the other. if the two parts are in the ratio 5:3. find the numbers and two parts.

Sagot :

[tex]a+b=x \\\\ \boxed{a=10+b} \\\\ a;b \ \ \ \ direct \ proportional \ with \\ 5;3 \\\\ \frac{a}{5}=\frac{b}{3}=k \\ \\ \boxed{a=5k} \\ \boxed{b=3k} \\\\\\ a=10+b \\\\ 5k=10+3k \\\\ 5k-3k=10 \\\\ 2k=10 \\\\ \boxed{k=\frac{10}{2}=5} \\\\\\ a=5*5 \\\\ \boxed{\boxed{a=25}} \\\\ b=3*5 \\\\ \boxed{\boxed{b=15}} \\\\\\ a+b=x \\\\ 25+15=x \\\\ \boxed{\boxed{\boxed{x=40}}}}[/tex]