The difference between the digits in a two-digit numeral is 3. The units' digit is twice the tens' digit. Find the nuermal.
36
To find the two-digit numeral that satisfies the given conditions, let's break down the problem step by step:
1. Let's assume the tens' digit as 'x' and the units' digit as '2x'. (Units' digit is twice the tens' digit).
2. The difference between the digits is 3. This means |x - 2x| = 3. Simplifying this, we get |-x| = 3, which means x = -3 (since the difference can never be negative).
3. Now we know that the tens' digit, x, is -3.
4. To find the units' digit, substitute -3 into the equation for the units' digit: units' digit = 2x = 2(-3) = -6.
5. Since the units' digit cannot be negative for a two-digit numeral, we add 10 to it to get a positive result: (-6) + 10 = 4.
6. Therefore, the tens' digit is -3 and the units' digit is 4, giving us the two-digit numeral -34.
So, the two-digit numeral that satisfies the given conditions is -34.