Birthday 6092

Soňa and her aunt have a birthday, and her aunt is five times older than Soňa. When Soňa is a year younger than her aunt, her aunt will be eighty years old. How old is Sona now?

Correct answer:

s =  9

Step-by-step explanation:


t = 5s
t+(t-s-1)=80

t = 5·s
t+(t-s-1)=80

5s-t = 0
s-2t = -81

Row 2 - 1/5 · Row 1 → Row 2
5s-t = 0
-1.8t = -81


t = -81/-1.8 = 45
s = 0+t/5 = 0+45/5 = 9

s = 9
t = 45

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