You can put this solution on YOUR website! What 2 digit number is equal to three times the product of its digits?
:
Let x = the 10's digit, Let y = the units digit
:
10x + y = 3(x*y)
:
10x = 3xy - y
:
10x = y(3x-1)
:
y = 10x/(3x-1)
:
Choose a number for x and see if y is an integer.
Let x = 1: the above expression: 10/(3(1)-1)) = 10/2 = 5 = y
:
Substitute 1 for x and 5 for y
10 + 5 = 3(1*5)
:
a two digit number could be 15
:
:
Try x = 2: 20(3(2)-1)) = 10/5 = 4 = y
:
Substitute 2 for x and 4 for y:
20 + 4 = 3(2*4)
:
Another two digit number would be 24
:
I don't think there any others
:
Did this help?
