SOLUTION: Ashten choose three different whole numbers between 1 and 50. The first number is a prime number. The second number is 4 times the first number. The third number is 6 less tha

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Question 1035947: Ashten choose three different whole numbers between 1 and 50.
The first number is a prime number.
The second number is 4 times the first number.
The third number is 6 less than the second number.
The sum of the three numbers is greater than 57.
Find the three numbers.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Let p = first whole number, which is prime.
==> second number is 4p
==> third number is 4p - 6.
Now it is given that p + 4p + 4p - 6 > 57 ==> 9p > 63 ==> p > 7.
The next prime number greater than 7 is 11. This gives the trio 11, 44, 38.
These are the three whole numbers that were chosen. (The next prime number, 13, would produce the triple 13, 52, and 46, one of which is already greater than 50.)