the denominator of a rational number is greater than its numerator by 3 . if numerator is increased by 14 and denominator is decreased by 3 , new number becomes 11/4 .what is the original number ?
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Answered by
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let rational number in the form of x/y
a/c to question,
y = x +3 -----(1)
again,
(x +14)/( y -3) = 11/4
4x +56 = 11y -33
4x + 56 = 11(x +3) -33 { from equation (1)
4x +56 = 11x +33 -33
7x = 56
x =8
so, y = x +3 = 11
hence rational number = 8/11
a/c to question,
y = x +3 -----(1)
again,
(x +14)/( y -3) = 11/4
4x +56 = 11y -33
4x + 56 = 11(x +3) -33 { from equation (1)
4x +56 = 11x +33 -33
7x = 56
x =8
so, y = x +3 = 11
hence rational number = 8/11
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hi.....here is your answer......
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