Three men

Alex is half younger than Jan, which is one-third younger than George. The sum of their ages is 48. How are these three men old?

Correct answer:

a =  8
b =  16
c =  24

Step-by-step explanation:


a = b - b/2
b = c - c/3
a+b+c= 48

2a-b = 0
3b-2c = 0
a+b+c = 48

Row 3 - 1/2 · Row 1 → Row 3
2a-b = 0
3b-2c = 0
1.5b+c = 48

Row 3 - 1.5/3 · Row 2 → Row 3
2a-b = 0
3b-2c = 0
2c = 48


c = 48/2 = 24
b = 0+2c/3 = 0+2 · 24/3 = 16
a = 0+b/2 = 0+16/2 = 8

a = 8
b = 16
c = 24

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