Sum and ratio

The sum and ratio of two numbers are equal to 10. Which numbers are they?

Correct answer:

a =  9.0909
b =  0.9091

Step-by-step explanation:


a+b = 10
a = 10b

a+b = 10
a = 10·b

a+b = 10
a-10b = 0

Row 2 - Row 1 → Row 2
a+b = 10
-11b = -10


b = -10/-11 = 0.90909091
a = 10-b = 10-0.90909091 = 9.09090909

a = 100/11 ≈ 9.090909
b = 10/11 ≈ 0.909091

Our linear equations calculator calculates it.



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