the denominator of a rational number is greater than its numerator by 3.if the numerator is increased by 7 and the denominator is decreased by 1. the new number is becoming 3/2 . find the original number.
Answers
Answered by
4
Let the numerator be x
So, denominator = 3x
New numerator = x + 7
New denominator = 3x - 1
According to the question,
x+7/3x-1 = 3/2
2(x+7) = 3(3x-1)
2x + 14 = 9x - 3
14 - 3 = 9x -
So, denominator = 3x
New numerator = x + 7
New denominator = 3x - 1
According to the question,
x+7/3x-1 = 3/2
2(x+7) = 3(3x-1)
2x + 14 = 9x - 3
14 - 3 = 9x -
Answered by
3
Answer:
x=8
Step-by-step explanation:
x/x+3
numerator is increased by 7 and denominator is decreased by 1 then
x+7/x+2=3/2
2[x+7]=3[x+2]
x=8
numerator/denominator =15/10= 3/2
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