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ICSE Class 6 Answered

 
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Asked by amkazmi2005 | 17 Oct, 2019, 01:02: PM
answered-by-expert Expert Answer
Let the total number of books in the library be x.
 
According to the condition, we get
begin mathsize 16px style 1 fifth straight x space plus space 1 over 8 straight x space plus space 1 over 12 straight x space plus space 142 space equals space straight x
LCM left parenthesis 5 comma space 8 comma space 12 right parenthesis space equals space 120
rightwards double arrow fraction numerator 1 cross times 21 over denominator 5 cross times 21 end fraction straight x space plus space fraction numerator 1 cross times 15 over denominator 8 cross times 15 end fraction straight x space plus space fraction numerator 1 cross times 10 over denominator 12 cross times 10 end fraction straight x space plus space 142 space equals space straight x
rightwards double arrow fraction numerator 21 straight x space plus space 15 straight x plus space 10 straight x space plus space 17040 over denominator 120 end fraction equals space straight x
rightwards double arrow 17040 space equals space 71 straight x
rightwards double arrow space straight x space equals space 240 end style
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