What fraction must be subtracted from the sum of 1/4 and 1/6 so that the average of the three numbers is 1/12.
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sum = 1/4 + 1/6 = 5/12
Average of the three numbers : 1/4, 1/6, x be 1/12
so 1/4 + 1/6 + x = 1/12 * 3 = 1/4
=> x = -1/6
After subtraction of some quantity from the sum 5/12 we get -1/6.
To obtain -1/6 from the sum 5/12 we have to subtract 5/12 - (-1/6)
= 7/12.
Average of the three numbers : 1/4, 1/6, x be 1/12
so 1/4 + 1/6 + x = 1/12 * 3 = 1/4
=> x = -1/6
After subtraction of some quantity from the sum 5/12 we get -1/6.
To obtain -1/6 from the sum 5/12 we have to subtract 5/12 - (-1/6)
= 7/12.
eng123:
Sir could you please make it understand in an easier way
let the fraction be Z....... sum = 1/4+1/6 = 5/12........ Now get the 3rd number = 5/12 - Z............ average of 3 numbers = [1/4+1/6+5/12-Z] / 3 = [5/6 - Z] /3 .........so [5/6 - Z]/3 = 1/12...........Z = 5/6 - 1/4=7/12... answer.
Thank you
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