Question

What two numbers add to make 36 with one of the numbers being exactly twice the other? smaller number = and larger number =

Answer 1

12 and 24
The equation is 2x + x =36
So 3x = 36
Then divide each side by 3
So x =12
That is the smaller number
Multiply it by 2 to get the bigger number since it's twice the number

Answer 2

Smaller number = 12

Larger number = 24

Explanation:

Let's call X the smallest number, while Y is the largest number.

In this case, Y = 2X

The equation that represents the given case is,

X + Y = 36

But being Y = 2X we substitute in the equation, obtaining ...

X + 2X = 36

Now we add the X ...

3X = 36

We isolate the X to know its value ...

`x=(36)/(3)`

X = 12

Now we calculate the value of Y ...

Y = 2X

Y = 2 (12)

Y = 24

Smaller number = 12

Larger number = 24

Both conditions are met:

(1) The largest number is twice the smallest number: 12 * 2 = 24

(2) The sum of the two numbers is 36: 12 + 24 = 36

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Hope this helps!