I am a number less than 15. The sum of my 4 digits is twice my hundredths digit. My greatest digit is in the ones place. what number am I?

Numbers less than 15 do not have 4 digits

Its a decimal number

To find the number that satisfies the given conditions, we can break it down step by step.

Step 1: Start with the information provided. We know that the number is less than 15, so it must be a single-digit or double-digit number.

Step 2: Consider the condition that the sum of the digits is twice the hundredths digit. Since the given number is a single-digit or double-digit number, it means it has at most two digits. Therefore, the hundredths digit is not applicable in this case.

Step 3: Next, examine the condition that the greatest digit is in the ones place. This means that the ones digit of the number is its greatest digit.

Step 4: We can now consider all the possible single-digit or double-digit numbers that satisfy the given conditions. These numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, and 14.

Step 5: To narrow down the options, we need to check if any of these numbers satisfy the condition that the sum of their digits is twice the hundredths digit. Since the hundredths digit is not applicable, we ignore this condition.

Step 6: Lastly, among the numbers that satisfy the previous conditions, we need to find the one where the greatest digit is in the ones place. The only number that fulfills this requirement is 9.

Therefore, the number that satisfies the given conditions is 9.