# 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?

1
by sarwash

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by sarwash

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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

9*6-8*7=-2

54-56=-2

-2=-2

l.h.s.=r.h.s.

So,the values of x and y are correct.

Now total no.of beads =9x+8=9*6+8

=54+8=62

&

8y +6=8*7+6=56+6= 62

Therefore,62 is the correct answer.

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