In a two-digit number the tens’ digit is 3 more than the units’ digit. The number itself is 17 times the units’ digit. Find the number.
Which is it?
41
52
63
74
85
96
The correct answer is 85 thank you.
You're welcome.
To find the number, we need to establish some equations based on the given information.
Let's assume the units digit of the number is "x".
According to the given information, the tens digit is 3 more than the units digit. So, the tens digit would be "x + 3".
The number itself is 17 times the units digit. Therefore, the number can be expressed as 10 times the tens digit plus the units digit, which is (10 * (x + 3)) + x.
Now, we can set up an equation based on the given information:
(10 * (x + 3)) + x = 17x
Now, we can solve this equation to find the value of "x" and then determine the two-digit number.
Let's solve the equation:
10x + 30 + x = 17x
Combining like terms:
11x + 30 = 17x
Subtracting 11x from both sides:
30 = 6x
Dividing both sides by 6:
5 = x
Now, we know that the units digit is 5.
To find the tens digit, we can substitute the value of "x" back into the expression "x + 3":
Tens digit = 5 + 3 = 8
Therefore, the two-digit number is 85.