The ratio

The ratio of the two numbers is 4, and their sum is 75. Determine both numbers.

Correct answer:

a =  60
b =  15

Step-by-step explanation:


a=4b
a+b=75

a=4·b
a+b=75

a-4b = 0
a+b = 75

Row 2 - Row 1 → Row 2
a-4b = 0
5b = 75


b = 75/5 = 15
a = 0+4b = 0+4 · 15 = 60

a = 60
b = 15

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