The ratio of the units digit to the tens digit is one-half. The tens digit is two more than the units digit.Find the number.
ratio is 1/2 so one of these:
8 4
6 3
4 2
2 1
difference is 2 so
42
To find the number, let's break down the information given step by step:
1. The ratio of the units digit to the tens digit is one-half: This means that the units digit is half of the tens digit.
2. The tens digit is two more than the units digit: Let's represent the units digit as "x". According to the given information, the tens digit is then "x + 2".
Now we can put these pieces together to find the number:
Let's assume that the number is in the form of "ab", where "a" represents the tens digit and "b" represents the units digit.
From step 1, we know that "b = a/2".
From step 2, we know that "a = b + 2".
Substituting the value of "b" from step 1 into the equation from step 2:
a = a/2 + 2
To solve this equation, we can multiply both sides by 2 to eliminate the fraction:
2a = a + 4
Simplifying further:
2a - a = 4
a = 4
Now that we have the value of "a" as 4, we can substitute it back into the equation from step 2 to find the value of "b":
b = 4/2
b = 2
Therefore, the number is "42".