Two number sum

The sum of the two numbers is 46. It holds that two times the first is one greater than three-fifths of the second. What are the numbers?

Final Answer:

a =  11
b =  35

Step-by-step explanation:


a+b=46
2a = 1+3/5 b

a+b=46
2·a = 1+3/5·b

a+b = 46
10a-3b = 5

Pivot: Row 1 ↔ Row 2
10a-3b = 5
a+b = 46

Row 2 - 1/10 · Row 1 → Row 2
10a-3b = 5
1.3b = 45.5


b = 45.5/1.3 = 35
a = 5+3b/10 = 5+3 · 35/10 = 11

a = 11
b = 35

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