# Grandmother

Grandmother wants to give the candies to grandchildren that when she gives 5 candy everyone 3 missing and when she gives 4 candies 3 is surplus. How many grandchildren has grandmother and how many candies has?

Correct result:

b =  27
n =  6

#### Solution:

5n-3 = 4n+3
b = 5n-3

5•n-3 = 4•n+3
b = 5•n-3

n = 6
b-5n = -3

b = 27
n = 6

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