Question

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

Answer 1

By solving a system of equations we will see that the two-digit number is 84.

Which expression best represents the word problem?

"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:

brainly.com/question/13729904

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