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There are four unknown numbers. The mean of the first two numbers is 4 and the mean of the first three is 9. The mean of all four numbers is 15; if one of the four numbers is 2 find the other numbers.

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We know that mean = sum/ number

Given that, Mean of 4 numbers = 15 

⇒ Sum of the 4 numbers = 4 x 15 = 60 

Mean of the first 3 numbers = 9 

⇒ Sum of the first 3 numbers = 3 x 9 = 27 

Mean of the first 2 numbers = 4 

⇒ Sum of the first 2 numbers = 2 x 4 = 8 

Fourth number = sum of 4 numbers – sum of 3 numbers = 60 – 27 = 33 

Third number = sum of 3 numbers – sum of 2 numbers = 27 – 8 = 19 

Second number = Sum of 2 numbers – given number = 8-2 = 6 

∴ The other three numbers are 6, 19, 33.

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