how many rational numbers are there strictly between 0 and 1 with the property that the sum of numerator and denominator is 70 ? how and which?

Asked by sharalka121 | 9th Dec, 2014, 05:16: PM

Expert Answer:

We find rational numbers that lie between 0 and 1, such that the sum of their denominator and numerator is 70.

i.e. the first number can be formed with 1 and 69, with 1 + 69 = 70, i.e. begin mathsize 12px style 1 over 69 end style

Similarly the next number will be made by 2 and 68, i.e. begin mathsize 12px style 2 over 68 end style

In that case we get numbers as begin mathsize 12px style 1 over 69 comma 2 over 68 comma 3 over 67 comma 4 over 66 comma.... comma space 33 over 37 comma 34 over 36 end style.

Hence there are 34 such numbers which satisfy the given condition.

Answered by Mili Hariyani | 10th Dec, 2014, 11:17: AM