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Lenka is three times younger than her brother Lukas; they are 20 years old. How old is Lenka, and how many are Lukas?

Correct answer:

a =  5
b =  15

Step-by-step explanation:


a=b/3
a+b = 20

3a-b = 0
a+b = 20

Row 2 - 1/3 · Row 1 → Row 2
3a-b = 0
1.33b = 20


b = 20/1.33333333 = 15
a = 0+b/3 = 0+15/3 = 5

a = 5
b = 15

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