Question

given a 2-digit number, the tens digit is y and the units digits is x. the sum of fge twi digits if this number is 9 . what equal will be formed if the number is 6 times the units digits

Answer 1

The 2-digit number where the tens digit is y and the units digit is x, with the sum of the digits being 9 and the number being 6 times the units digit, is found to be 36.

Step-by-step explanation:

If we have a 2-digit number where the tens digit is y and the units digit is x, and the sum of these two digits is 9, we want to find the value of the number if it is 6 times the units digit. We are given that the sum of the digits is 9, so:

• x + y = 9

The 2-digit number can be expressed as 10y + x. Now, if the number is 6 times the units digit, we get:

• 10y + x = 6x

Since x + y = 9, we can substitute y with 9 - x into the equation:

• 10(9 - x) + x = 6x
• 90 - 10x + x = 6x
• 90 = 6x + 10x - x
• 90 = 15x
• x = 6

Using the previous sum equation x + y = 9:

• 6 + y = 9
• y = 3

Thus, the tens digit y is 3 and the units digit x is 6, making the original 2-digit number 36.

corrected answer:

given a 2-digit number, the tens digit is y and the units digits is x. the sum of the two digits if this number is 9 . what equal will be formed if the number is 6 times the units digits