X 3.3.31

Skill Builder

The sum of two numbers is 5. Three times the larger number plus two times the smaller number is 28. Find the numbers.

The larger number is

and the smaller number is

.

Alan Answer

Step-by-step explanation:

So let's make the two numbers "X" and "Y".

X + Y = 5

That's the very first line

let's take X as the bigger number and Y as the Smaller number.

3x + 2y = 28

now we have two equations and two unknowns.

We can also arrange the first equation to be as

X = 5 - Y

substitute this equation in the 2nd equation

3 (5 - Y) + 2Y = 28

15 - 3Y + 2Y = 28

-Y = 13

Y = - 13

Substitute Value of Y in any equation to get X

X = 5 - (-13)

X = 18