Two numbers

The difference between the two numbers is 74. If we divide a larger number by a smaller one, we get a quotient of seven and the rest of 2. Determine both numbers.

Correct answer:

a =  86
b =  12

Step-by-step explanation:


a-b = 74
a = 7b+2

a-b = 74
a = 7·b+2

a-b = 74
a-7b = 2

Row 2 - Row 1 → Row 2
a-b = 74
-6b = -72


b = -72/-6 = 12
a = 74+b = 74+12 = 86

a = 86
b = 12

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