Question

The sum of two numbers is 54. Let x represent the small number,and let x +2 represent the larger number. Write and solve an equation to determine the numbers.

Answer 1

To solve the equation x + (x + 2) = 54, we combine like terms to get 2x + 2 = 54. By subtracting 2 and dividing by 2, we find x = 26. Adding 2 to 26, we determine the larger number is 28, so the two numbers are 26 and 28.

Step-by-step explanation:

Finding the Two Numbers

To find the two numbers whose sum is 54 and where one number is 2 more than the other, we can set up the equation x + (x + 2) = 54. Simplifying the equation, we get 2x + 2 = 54. To solve for x, we first subtract 2 from both sides: 2x = 52. Then we divide both sides by 2 to get x = 26. This means the smaller number is 26. To find the larger number, we add 2 to the smaller number: x + 2 = 26 + 2 = 28. Hence, the two numbers are 26 and 28.

Answer 2

X+X+2=54
2x+2=54
2x = 54-2
2x = 52
Divide Both sides by 2
X=26

The second number =26+2
The two numbers are 28 and 26 respectively