There is a number that is 5 times the sum of its digits. What is this number? Answer is not 0.

Answer

The number is 45, simply because

45 = 5 * (4 + 5)

How does one find this number?

Let T be the digit in the tens place and U be the digit in the units place. Then, the number is 10*T + U, and the sum of its digits is T + U.

The following equation can be readily written:

10*T + U = 5*(T + U) or

10*T + U = 5*T + 5*U or

5*T = 4*U

Thus, T / U = 4 / 5

Since T and U are digits, T must be 4 and U must be 5.

There are six boxes containing 5, 7, 14, 16, 18, 29 balls of either red or blue in colour. Some boxes contain only red balls and others contain only blue.

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