Answer:

the number is 15

Step-by-step explanation:

Step 1: Translate the mathematical statements into a working mathematical equation. Let x be the number.

Statement 1: the sum of a two-digit number is 6.

X1 + X2 = 6, X1X2 = X

Statement 2: The number is three more than twice the sum of its digits.

Equation 1 : X = 3 + 2(6)

Step 2: Solve for the value of x using equation 1.

X = 3 + 2(6)

x = 3 + 12

x = 15

Step 3: Check the answer with statement 1.

x1x2 = 6

Here, x1 = 1 and x2 = 5, hence,

x = 1 + 5

x = 6, correct with the first statement.

Therefore, the number is 15.

Click here for related problems to practice:

brainly.ph/question/2271189

#BrainlyEveryday