1.

the denominator of a rational number is 3 more than twice its numerator. if 5 is added tothe numerator and the denominator olis increased by 2 , the number become 2/3 . find the rational number .

Answer»

The answer will be 5/13
let the numerator be X.
so, DENOMINATOR will be
2x + 3.
so fraction =x/(2x+3)
now,
x+5/(2x+3+2)=2/3.
=>x+5/(2x+5)=2/3.
now on solving the EQUATION ,we get x=5

so fraction=x/(2x+3)
=5/(2×5+3)
=5/(10+3)
=5/13


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