The tens digit of a number is twice the ones digit. The sum of the digits in the number is 12. What is the number?

Choose what the expressions below best represent within the context of the word problem.

Let x = the ones digit

Let y = the tens digit

x+2y=12

x=2y

x+y=12 substitute x for 2y to get:

(2y) + y=12 add like terms to get:

3y=12

3y=12 divide both sides by 3 to get:

y=4

x+y=12 substitute y for 4 to get:

x+4=12 subtract 4 from both sides to get:

x=8

so if x=ones

and y=tens

then the answer is 48

84. 4•2=8 8+4=12. The second digit must be less than 5 to create a single digit answer for your tens place.