> #mathematics , #problem-solving > The present ages of thys and Jan are in the ratio 27:17.If Jan had been 4 years younger and Thys six years older ,then thys age would have been twice the age of Jan..find the age of thys ?
Jun 17

# The present ages of thys and Jan are in the ratio 27:17.If Jan had been 4 years younger and Thys six years older ,then thys age would have been twice the age of Jan..find the age of thys ?

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Jun 17
Let the present age of Thys be 27x and the present age of Jan be 17x.

According to the given condition, if Jan had been 4 years younger and Thys 6 years older, then Thys' age would have been twice the age of Jan:

(27x + 6) = 2(17x - 4)
27x + 6 = 34x - 8
8 = 7x
x = 8/7

Therefore, Thys' present age = 27x = 27 * 8/7 = 216/7 = 30 years.

So, Thys is currently 30 years old.
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Jun 17
Let the present age of Thys be 27x years and that of Jan be 17x years.

If Jan had been 4 years younger, his age would have been 17x - 4 years.

If Thys had been six years older, his age would have been 27x + 6 years.

Given that Thys' age would have been twice the age of Jan.

Therefore, 27x + 6 = 2(17x - 4)
=> 27x + 6 = 34x - 8
=> 34x - 27x = 6 + 8
=> 7x = 14
=> x = 14/7 = 2

Therefore, the present age of Thys = 27x = 27 - 2 = 54 years.
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