one third of a pole is painted yellow, one fifth is painted white and the remaining 7 meters is painted black. find the length of the pole.
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Let the length of pole be a m
Part of pole painted yellow = a/3 m
Part of pole painted white = a/5 m
Remaining part = 7 m
Total length of pole = a/3 + a/5 + 7
=> a = a/3 + a/5 + 7
=> a - a/3 - a/5 = 7
=> ( 15a - 5a - 3a) / 15 = 7
=> 7a/15 = 7
=> a = 7 × 15 / 7
=> a = 15
Length of pole = 15 m
Part of pole painted yellow = a/3 m
Part of pole painted white = a/5 m
Remaining part = 7 m
Total length of pole = a/3 + a/5 + 7
=> a = a/3 + a/5 + 7
=> a - a/3 - a/5 = 7
=> ( 15a - 5a - 3a) / 15 = 7
=> 7a/15 = 7
=> a = 7 × 15 / 7
=> a = 15
Length of pole = 15 m
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