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the average of two number is 55 to subtract from the greater number ratio between number become 1:2 the smaller number is

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Complete question:

The average of two number is 55. If 2 is subtracted from the greater number, the ratio between the numbers become 1:2 . The smaller number is

Answer:

The smaller number is 36

Step-by-step explanation:

let the smaller number = x

let the greater number = y


(x + y)/(2) = 55\\\\

x + y = 110

y = 110 - x --------- equation (i)


(x)/(y-2) = (1)/(2)\\\\ y-2 = 2x\\\\y = 2x + 2 ------equation(ii)

Substitute y in equation (ii)

110 - x = 2x + 2

110 - 2 = 2x + x

108 = 3x

x = 108 / 3

x = 36

Therefore, the smaller number is 36

User Jignesh Mistry
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