* Tanya is 6 times younger than her great-grandfather. If a zero is placed between the digits of her age, it will read as the age of her great-grandfather. How old is Tanya?
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Answer:
Tanya is 18 years old
Step-by-step explanation:
In order to determine this, we assume the following
x = tens digit of the age of Tanya, and also the hundreds digit of Tanya's great-grandfather age
y = units digit of the age of Tanya, and also the units digit of Tanya's great-grandfather age
Therefore, we have:
10x + y = (1 / 6) * (100x + y)
Multiply both sides by 6, we have:
[10x + y] * 6 = [(1 / 6) * (100x + y)] * 6
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