SOLUTION: 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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Question 1124381: 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?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = the tens digit of Tanya’s age
Let +b+ = the units digit of Tanya’s age
( also note that +a+ is the hundreds digit
Of her greatgrandfather’s age And +b+ is
the units digit of her greatgrandfather’s age
—————————————————————-
(1) +10a+%2B+b+=+%281%2F6%29%2A%28+100a+%2B+b+%29+
(1) +60a+%2B+6b+=+100a+%2B+b+
(1) +40a+=+5b+
(1) +8a+=+b+
a and b must be single digits, and the only
way that can be true, is if +a+=+1+ and +b+=+8+
Tanya is 18
———————
Check:
+18+=+%281%2F6%29%2A108+
+108+=+108+
OK