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ICSE Class 6 Answered

1/4 of the number of kelly's buttons equalto1/3 of the number of Megna's buttons. The difference in the number of buttons they have is 1/8 of the number of jeny's button.if jenny has 160 buttons,  how many buttons do kelly and Megan have altogether
Asked by ayeshaaibani | 11 Oct, 2018, 07:56: PM
answered-by-expert Expert Answer
 
 
 
Let the number of Kelly's buttons = x and
the number of Megna's buttons = y
 
According to the conditions,
begin mathsize 16px style 1 fourth straight x space equals space 1 third straight y space rightwards double arrow 3 straight x space minus space 4 straight y space equals space 0 space space.... left parenthesis straight i right parenthesis end style
 
x - y = 20  ....(ii)....( begin mathsize 16px style 1 over 8 cross times 160 space equals space 20 end style)
Solve equation  (i) and (ii) simulataneously, we get
x = 80 and y = 60
Answered by Yasmeen Khan | 12 Oct, 2018, 10:02: AM

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