the numerator of a rational number is 3 less than its denominator if the numerator is increased by 1 and denominator is increased by 3 the number becomes 1 by 2 find the rational number
Answers
Answered by
31
Answer:
Step-by-step explanation:
Numerator is 3 less than the denominator
= x - 3/x
If numerator is increased by 1 and denominator is increased by 3
It becomes 1/2
= x - 2/x + 3 = 1/2
By cross multiplication we get
2(x - 2) = 1(x + 3)
= 2x - 4 = x + 3
= x = 7
Original rational no. = 7 - 3/7 = 4/7
Answered by
18
Answer:
let denominator be x
so,
numerator will be x–3
according to question
x–3+1/x+3=1/2
2x-4=x+3
x= 7 is answer dude
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