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Joyce has between 25 and 75 coloured beads. When she makes them into groups of 9, 8 beads are left out. When she groups them into groups of 8, 6 beads are

left out. How many beads does she have?


In first case
no.of beads in each group = x
total beads= 9x+8
because 8 beads are left
in second case
no.of beads in one group be y
total beads = 8y +6
Now, total beads = 9x+8 = 8y + 6
9x-8y = 6-8
9x-8y = -2
let us assume x=6 & y=7
So,the values of x and y are correct.
Now total no.of beads =9x+8=9*6+8
8y +6=8*7+6=56+6= 62
Therefore,62 is the correct answer.
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