Question

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Answer 1

Let the numerator be x and the denominator be y.
So, sum of denominator and numerator is 7.
So,x+y=7 ________(1)
4times the numerator is equal to 8 less than 5 times the denominator.
So, 4x=5y-8
=>4x-5y=-8 _______(2)
Multiplying 5 in eq(1) we get,
5x+5y=35 ________(3)
Adding eq (2) & eq (3) we get,
4x-5y=-8
5x+5y=35
________
9x=27
=>x=27/9=3
Substituting x=3 in eq (1) we get,
3+y=7
=>y=7-3
=4
Therefore the fraction is 3/4.