The sum of the tens and ones digits of a 2-digit number is 12.
The digit in the tens place is greater than the digit in the ones place
The product of the two digits is 35.
Find the 2-digit number.
7+5 = 12
7 * 5 = 35
75
75
To find the 2-digit number, we need to consider the given conditions. Let's break it down step by step.
1. The sum of the tens and ones digits is 12.
Let's consider the tens digit as 'x' and the ones digit as 'y'. So, we have the equation x + y = 12.
2. The digit in the tens place is greater than the digit in the ones place.
This condition tells us that x > y.
3. The product of the two digits is 35.
We can write this as xy = 35.
Now, let's use the above conditions to determine the tens and ones digit:
From equation 2, we know that x > y. Since x and y are digits, they can only take values from 0 to 9.
We also know that their sum is 12. If x > y, then we can try different values for x, keeping in mind that x + y = 12.
Let's look at the possible values for x and y that satisfy the equation:
x = 9, y = 3: 9 + 3 = 12 (sum is correct), 9 * 3 = 27 (product is not correct)
x = 8, y = 4: 8 + 4 = 12 (sum is correct), 8 * 4 = 32 (product is not correct)
x = 7, y = 5: 7 + 5 = 12 (sum is correct), 7 * 5 = 35 (product is correct)
So, the correct values are x = 7 and y = 5.
Therefore, the 2-digit number is 75.