Using only the operations add, subtract, multiply or divide can you always make 24 with two 3s and one other pair of digits?

For example using 3355, you can make 24 by saying 5x5 –(3/3) and with the digits 3399 it is (3+9) + (3+9)

Using only addition, subtraction, multiplication and/or division make 24 using the four digits 3377 and 3388.

3333?

3344?

No, you cannot. Look at 3, 3, 0, 0 for instance. Without concatenation you can have, for instance, 3*3 + 0 + 0 = 9, (3 + 0)(3 + 0) = 9. With it you can have, for instance, 30 - 3 + 0 = 27, 33 - 0 - 0 = 33, 300/3 = 100, 30/3 + 0 = 10, 30 + 30 = 60.

ReplyDelete