What two numbers add to make 36 with one of the numbers being exactly twice the other? smaller number = and larger number =
2 answers:
Answer:
Smaller number = 12
Larger number = 24
Step-by-step 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 = 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!
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