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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

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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.

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.

Google Gemini AI

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.

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.