the denominator of a ratio number is greater than its numerator by 6 if the numerator is increased by 19 and the denominator is decreased by 1 then number obtained is 5 find the rational numbers
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Answer:
the answer is -3/1
Step-by-step explanation:
let the numerator is x then the denominator will be x+6 by first condition
if numerator increased by 19 then it will be x+19
and if denominator decreased by 1 then it will be x+5
therefore by the given condition we have equation (x+19)/(x+5)=5
solving this for x we get x+19=5x+25
or 5x-x=19-25
or 4x=-6
or x=-3/2 so -3/2+6=-9/2 hence the solution is (9/2)÷(-3/2)
which is equal to 9/2× (-2/3)=-3/1
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