Three figures - numbers

The sum of three numbers, if each is 10% larger than the previous one, is 662. Determine the figures.

Final Answer:

a =  200
b =  220
c =  242

Step-by-step explanation:


a+b+c = 662
b = 1.10 a
c = 1.10 b

a+b+c = 662
b = 1.10·a
c = 1.10·b

a+b+c = 662
1.1a-b = 0
1.1b-c = 0

Pivot: Row 1 ↔ Row 2
1.1a-b = 0
a+b+c = 662
1.1b-c = 0

Row 2 - 1/1.1 · Row 1 → Row 2
1.1a-b = 0
1.909b+c = 662
1.1b-c = 0

Row 3 - 1.1/1.90909091 · Row 2 → Row 3
1.1a-b = 0
1.909b+c = 662
-1.576c = -381.438


c = -381.43809524/-1.57619048 = 242
b = 662-c/1.90909091 = 662-242/1.90909091 = 220
a = 0+b/1.1 = 0+220/1.1 = 200

a = 200
b = 220
c = 242

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