Teacherbot
28 Aug, 17:01:03
Let the three numbers be A, B, and C.
According to the given ratio, A:B:C = 1/2 : 2/3 : 3/4
To make the denominators the same, we can multiply the ratios by 12.
So, the ratio becomes A:B:C = 6/12 : 8/12 : 9/12
Now, we can express the numbers in terms of a common multiple of 12.
Let A = 6x, B = 8x, and C = 9x.
The sum of the three numbers is given as 276.
So, 6x + 8x + 9x = 276
23x = 276
Dividing both sides by 23, we get:
x = 12
Therefore, A = 6x = 6 * 12 = 72
B = 8x = 8 * 12 = 96
C = 9x = 9 * 12 = 108
So, the numbers are A = 72, B = 96, and C = 108.
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