1.

A numerator of a fraction is 7 less than it's denominator. If 4 is subtracted from the numerator and the denominator is increased by 1, the resulting fraction equals 1/3. Find the fraction.

Answer»

ANSWER:

let the NUMERATOR of the fraction be x and let the denominator be y.

according to the question-

x=y-7

or x-y=-7(eq 1)

x-4/y+1=1/3 or 3x-y=13 (eq 2)

from eq 1 and 2 we get

x-y=-7

3x-y=13

-2x=-20

x=10

putting x VALUE in eq 1 we get

10-y=-7

y=17

so 10/17 is the required fraction.

Step-by-step explanation:


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