SOLUTION: what 2 digit number is equal to three times the product of its digits

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: what 2 digit number is equal to three times the product of its digits      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 212344: what 2 digit number is equal to three times the product of its digits
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
x = the 10's digit; y = units; 10x + y = the number
:
what 2 digit number is equal to three times the product of its digits
10x + y = 3(xy)
:
10x = 3xy - y
:
10x = y(3x - 1)
:
y = %2810x%29%2F%28%283x-1%29%29
;
Substitute for x and find an integer value for y
:
Only 2 solutions
x = 1, y = 5; 15 is the number
and
x = 2, y = 4; 24 is the number