I am thinking of an odd two digit number.The sum of its digits is eight.The difference of its digits is six. It is greater than ten and less than twenty. What is my number?
It could be
11, 13, 15, 17, 19
Which of those numbers meet the criteria?
15
To find the number, let's consider the information given. We know that the sum of its digits is eight and the difference of its digits is six.
Let's assume the tens digit is 'x' and the units digit is 'y'.
From the given information, we can set up two equations based on the sum and difference of the digits:
1. Equation based on the sum of the digits:
x + y = 8
2. Equation based on the difference of the digits:
x - y = 6
Now, we can solve the equations simultaneously to find the values of x and y.
Adding these two equations together eliminates the "y" terms:
(x + y) + (x - y) = 8 + 6
2x = 14
x = 7
Substituting the value of x into one of the equations:
7 + y = 8
y = 1
So, the tens digit (x) is 7, and the units digit (y) is 1. Hence, the number is 71.