Wo bus tickets from city a to b and three tickets from city a to c cost rs. 77 but three tickets from city a to b and two tickets from city a to c cost rs. 73. What are the fares for cities b and c from a ?
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let bus fare from a to b be ab and a to c be ac.
given 2ab+3ac=77 and
3ab+2ac=73
ab=(77-3ac)/2
3 (77-3ac)/2+2ac=73
231-9ac+4ac=146
5ac=85
ac=17
2ab+3×17=77
2ab=26
ab=13 and ac=17
given 2ab+3ac=77 and
3ab+2ac=73
ab=(77-3ac)/2
3 (77-3ac)/2+2ac=73
231-9ac+4ac=146
5ac=85
ac=17
2ab+3×17=77
2ab=26
ab=13 and ac=17
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