7+5 = 12
7 * 5 = 35
75
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 = 35
75
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.