Two numbers

The sum of two numbers is 1. Identify these two numbers if you know that half of the first is equal to the third of the second number.

Final Answer:

a =  0.4
b =  0.6

Step-by-step explanation:


a+b=1
a/2 = b/3

a+b = 1
3a-2b = 0

Pivot: Row 1 ↔ Row 2
3a-2b = 0
a+b = 1

Row 2 - 1/3 · Row 1 → Row 2
3a-2b = 0
1.67b = 1


b = 1/1.66666667 = 0.6
a = 0+2b/3 = 0+2 · 0.6/3 = 0.4

a = 2/5 = 0.4
b = 3/5 = 0.6

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