Thirty-five 27011

Thirty-five applicants applied for the company's audition. In the first round, they were divided into 3 groups. In the first group, there are 3 people fewer than in the second. In the third, there are 2 more people than in the second. How many candidates are there in each group?

Correct answer:

a =  9
b =  12
c =  14

Step-by-step explanation:


a+b+c=35
a = b-3
c = 2+b

a+b+c = 35
a-b = -3
b-c = -2

Row 2 - Row 1 → Row 2
a+b+c = 35
-2b-c = -38
b-c = -2

Row 3 - 1/-2 · Row 2 → Row 3
a+b+c = 35
-2b-c = -38
-1.5c = -21


c = -21/-1.5 = 14
b = -38+c/-2 = -38+14/-2 = 12
a = 35-b-c = 35-12-14 = 9

a = 9
b = 12
c = 14

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