Question

4 kids Aron, Bessy,Jimin, Jin play with beads. They start with 200 beads in all. Aron gave Bessy 26 beads. Bessy gave Jimin 36 beads, Jimin gave Jin 32 beads and Jin gave Aron 4 beads. They end up with same no. of beads.
How many beads did they have at the beginning​

Answer 1

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Answer 2

Total amount of beads at the start = 200 beads

If each person has the same amount of beads : 1 person = 50 beads

Bessy is b

Jimin is n

Jin is j

Aron is a

a - 26 + 4 = 50

a = 50 + 26 - 4

a = 72

b + 26 - 36 = 50

b = 50 - 26 + 36

b = 60

n + 36 - 32 = 50

n = 50 - 36 + 32

n = 46

j + 32 - 4 = 50

j = 50 - 32 + 4

j = 22

At the beginning of the game  the bead we’re distributed in this order

a = 72

b = 60

n = 56

j = 22

(a - 30 + 4) + (b + 26 - 36) + (n + 36 - 32) + (j +32 - 4) = 200

(72 - 30 + 4) + (60 + 26 - 36) + (46 + 36 - 32) + (22 +32 - 4) = 200

50 + 50 + 50 + 50 = 200