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
[tex]\frac{x + y}{2} = 55\\\\[/tex]
x + y = 110
y = 110 - x --------- equation (i)
[tex]\frac{x}{y-2} = \frac{1}{2}\\\\ y-2 = 2x\\\\y = 2x + 2 ------equation(ii)[/tex]
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
