By solving a system of equations we will see that the two-digit number is 84.
"The tens digit of a number is twice the ones digit"
"The sum of the digits is 12".
A two-digit number can be written as:
a*10 + b
Where a is the tens digit and b is the ones digit.
The word problem can then be written as:
a = 2*b
a + b = 12
So we have a system of equations.
To find the number we need to solve these, if we replace the first equation into the second one:
a + b = 12
(2b) + b = 12
3b = 12
b = 12/3 = 4
Then:
a = 2b = 2*4 = 8
So the two-digit number is 84.
If you want to learn more about systems of equations:
https://brainly.com/question/13729904
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