Grandmother

Grandmother wants to give the candies to grandchildren so that when she gives five candy everyone, three are missing, and when she gives four candies, 3 are surplus. How many grandchildren have a grandmother, and how many sweets have?

Correct answer:

b =  27
n =  6

Step-by-step explanation:


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

5·n-3 = 4·n+3
b = 5·n-3

n = 6
b-5n = -3

Pivot: Row 1 ↔ Row 2
b-5n = -3
n = 6


n = 6/1 = 6
b = -3+5n = -3+5 · 6 = 27

b = 27
n = 6

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