Question

Sum of two numbers is 14, Larger number is 2 more than smaller. Find the smaller number?​

Answer 1

Answer:

3 & 11

Step-by-step explanation:

The sum of two numbers is 14 ----> x+y = 14

Solve for y to get y = 14 - x

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The larger number is 2 more than 3 times the smaller number ----> y = 3x + 2

Note: y is implied to be the larger number (in this case). You could easily make x the larger number (and it wouldn't change the final answer)

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y = 3x + 2

14 - x = 3x + 2 ... plug in y = 14 - x (ie replace y with 14 - x)

-x=3x+2-14

-x-3x=2-14

-4x=2-14

-4x=-12

x=(-12)/(-4)

x=3

Now that you know x = 3, you can use it to find y

y = 14 - x

y = 14 - 3

y = 11

So the solutions are x = 3 and y = 11

Therefore, the two numbers are 3 and 11

Answer 2

Answer:

3

Step-by-step explanation:

Let small number be x

then larger number will be x+2

so, x+x+2 =14

x = 3