The sum of the digits of a two-digit number is 12. The units digit is twice the tens digit. Find the two-digit number.

Question

Two digit numbers

Answer 1

I can see that the answer is 48... but let's work the problem

 

Let the number be represented by xy

y is the units digit

x is the tens digit

 

x+y=12.   the sum of the digits is 12

y=2x.      the units digit is twice the tens digit

 

replacing y with 2x in the first equation we have

 

x+2x=12

3x=12

x=4

 

y=2x =2(4)=8

 

xy = 48