bubblegum0101
Answered

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Answer:

The two numbers are 18 and 42

Step-by-step explanation:

let the two numbers = x  and y

Their sum:    x + y = 60 ------ (1)

Also, dividing the larger by the smaller (partition = 2 and remainder = 6).

Let the larger number = y

[tex]\frac{y}{x} = 2\frac{6}{x} \\\\\frac{y}{x} = \frac{2x +6}{x} \\\\y = 2x + 6\ \ ----(2)[/tex]

Substitute the value of y into equation (1)

x + (2x + 6) = 60

x + 2x + 6 = 60

3x  +  6 = 60

3x = 60  - 6

3x = 54

x = 54 / 3

x = 18

y = 2x + 6

y = 2(18) + 6

y = 36 + 6

y = 42

The two numbers are 18 and 42

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