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Lelu [443]
4 years ago
13

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

Geography
1 answer:
Thepotemich [5.8K]4 years ago
6 0

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

Explanation:

let the smaller number = x

let the greater number = y

\frac{x + y}{2} = 55\\\\

x + y = 110

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

\frac{x}{y-2} = \frac{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

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