Katie had a collection of red, green and blue beads. She noticed that the number of beads of each colour was a prime number and that the numbers were all different.
She also observed that if she multiplied the number of red beads by the total number of red and green beads she obtained a number exactly 120 greater than the number of blue beads.

How many beads of each colour did she have?

SOURCE: Scottish Mathematical Challenge.

Katie had 11 red beads, 2 green beads, and 23 blue beads.

Posted by K Sengupta on 2022-02-26 00:09:49