Identify 3271

The sum of the two numbers is 110. The first number is 900% of the second number. Identify both of these numbers.

Correct answer:

a =  99
b =  11

Step-by-step explanation:


a+b=110
a = 900/100 b

a+b=110
a = 900/100·b

a+b = 110
100a-900b = 0

Pivot: Row 1 ↔ Row 2
100a-900b = 0
a+b = 110

Row 2 - 1/100 · Row 1 → Row 2
100a-900b = 0
10b = 110


b = 110/10 = 11
a = 0+900b/100 = 0+900 · 11/100 = 99

a = 99
b = 11

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