the denominator of a rational number is greater than its numerator by 3.if the numerator is increased by 7 and the denominator is decresed by 1, the new number becomes 3/2.find the original number
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3
let the numerator be x
then denominator is x+3
according to the question,
x+7/x+3-1 = 3/2
x+7/x+2 = 3/2
on cross multiplying ,
(x+7)2 = (x+2)3
2x + 14 = 3x + 6
x = 8
on substituting , the original number is 8/11
then denominator is x+3
according to the question,
x+7/x+3-1 = 3/2
x+7/x+2 = 3/2
on cross multiplying ,
(x+7)2 = (x+2)3
2x + 14 = 3x + 6
x = 8
on substituting , the original number is 8/11
Answered by
0
the new no is 8/11. hope it helps
dorapadilla:
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