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ICSE Class 7 Answered

4/7 part of a pole is under ground. When 1/4 of this part is pulled out , 2 1/2meters of the pole is still under ground . Whatis the full length of the pole?
Asked by jadhavpd555 | 17 Jul, 2019, 03:17: PM
answered-by-expert Expert Answer

begin mathsize 16px style 4 over 7 space of space straight a space pole space minus space fraction numerator 1 over denominator space 3 end fraction of space 4 over 7 of space pole left parenthesis portion space in space mud right parenthesis space equals 5 over 2 space
rightwards double arrow fraction numerator begin display style 4 end style over denominator begin display style 7 end style end fraction space of space straight a space pole space minus space fraction numerator begin display style 1 end style over denominator begin display style space 3 end style end fraction cross times 4 over 7 of space the space pole space equals space fraction numerator begin display style 5 end style over denominator begin display style 2 end style end fraction
rightwards double arrow fraction numerator begin display style 4 end style over denominator begin display style 7 end style end fraction space of space straight a space pole open parentheses 1 space minus fraction numerator begin display style 1 end style over denominator begin display style space 3 end style end fraction space close parentheses equals space fraction numerator begin display style 5 end style over denominator begin display style 2 end style end fraction
rightwards double arrow fraction numerator begin display style 4 end style over denominator begin display style 7 end style end fraction space of space straight a space pole cross times space 2 over 3 equals fraction numerator begin display style 5 end style over denominator begin display style 2 end style end fraction
rightwards double arrow fraction numerator begin display style 4 end style over denominator begin display style 7 end style end fraction space of space straight a space pole space equals fraction numerator begin display style 5 end style over denominator begin display style 2 end style end fraction space cross times 3 over 2 equals space 15 over 4
rightwards double arrow Length space of space the space pole space equals space fraction numerator 15 space cross times space 7 over denominator 4 space cross times space 4 end fraction space equals space fraction numerator begin display style 105 end style over denominator 16 end fraction straight m
end style
 
 
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