The smaller number is 1/2 of the larger number. find the number if the sum is 36

12

Step-by-step explanation:

Let s represent the smaller number and n the larger number.

Then s + n = 36.  s = (1/2)n.  Substituting (1/2)n for s, we get:

(1/2)n + n = 36, or (3/2)n = 36.

Multiplying both sides of this equation by (2/3) will isolate n as desired:

(2/3)(3/2)n = (2/3)(36) = 24.  Then n = 24 and s = (1/2)(24) = 12.  The smaller number is 12.

Check:  do 12 and 24 add up to 36?  Yes.

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