The sum of two numbers is 12. one of the numbers is 2 more than the other . a. 12 and 7 b. 5 and 3 c. 5 and 7 d. 2 and 12

Hey there!!

Let's take the number as x and y

Given,

The sum of x and y = 12

One number is 2 more than the other

Let's take y = x + 2

Equations

x + y = 12

As we know y = x + 2 , plug the value in

x + x + 2 = 12

2x + 2 = 12

Subtract 2 on both sides

2x = 10

Divide by 5 on both sides

x = 5

y = 2 + x

y = 7

The numbers are 5 and 7

Hope my answer helps!

Algebra:

x + y = 12

x = y + 2

y + y + 2 = 12

2y + 2 = 12

2y = 10

y = 5

x = 5 + 2 = 7

5 and 7 (D)

Logic:

Out of the numbers given, which two numbers add up to 12? only 5 & 7

To check, Is one of the numbers 2 more than the other? yes, 7 is 2 more than 5.